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Finding the Fourth Proportional to 705.78, 974.04 and 411.09

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Solution

The fourth proportional to 705.78, 974.04 and 411.09 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 974.04 = 411.09 : x
  2. Step 2: Convert to fraction form
    705.78/974.04 = 411.09/x
  3. Step 3: Cross multiply
    705.78x = 974.04 × 411.09
  4. Step 4: Simplify right side
    705.78x = 400,418.10
  5. Step 5: Solve for x
    x = 400,418.10/705.78
  6. Step 6: Final answer
    x = 567.34

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.