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Finding the Fourth Proportional to 515.37, 710.27 and 410.04

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Solution

The fourth proportional to 515.37, 710.27 and 410.04 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.37 : 710.27 = 410.04 : x
  2. Step 2: Convert to fraction form
    515.37/710.27 = 410.04/x
  3. Step 3: Cross multiply
    515.37x = 710.27 × 410.04
  4. Step 4: Simplify right side
    515.37x = 291,239.11
  5. Step 5: Solve for x
    x = 291,239.11/515.37
  6. Step 6: Final answer
    x = 565.11

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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.