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Finding the Fourth Proportional to 705.61, 973.75 and 410.90

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Solution

The fourth proportional to 705.61, 973.75 and 410.90 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.61 : 973.75 = 410.90 : x
  2. Step 2: Convert to fraction form
    705.61/973.75 = 410.90/x
  3. Step 3: Cross multiply
    705.61x = 973.75 × 410.90
  4. Step 4: Simplify right side
    705.61x = 400,115.28
  5. Step 5: Solve for x
    x = 400,115.28/705.61
  6. Step 6: Final answer
    x = 567.05

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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.