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Finding the Fourth Proportional to 515.15, 710.15 and 410.27

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Solution

The fourth proportional to 515.15, 710.15 and 410.27 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.15 : 710.15 = 410.27 : x
  2. Step 2: Convert to fraction form
    515.15/710.15 = 410.27/x
  3. Step 3: Cross multiply
    515.15x = 710.15 × 410.27
  4. Step 4: Simplify right side
    515.15x = 291,347.64
  5. Step 5: Solve for x
    x = 291,347.64/515.15
  6. Step 6: Final answer
    x = 565.56

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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.