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Finding the Fourth Proportional to 705.93, 974.08 and 411.14

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Solution

The fourth proportional to 705.93, 974.08 and 411.14 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 974.08 = 411.14 : x
  2. Step 2: Convert to fraction form
    705.93/974.08 = 411.14/x
  3. Step 3: Cross multiply
    705.93x = 974.08 × 411.14
  4. Step 4: Simplify right side
    705.93x = 400,483.89
  5. Step 5: Solve for x
    x = 400,483.89/705.93
  6. Step 6: Final answer
    x = 567.31

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Double scale
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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.