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Finding the Fourth Proportional to 515.33, 710.40 and 410.46

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Solution

The fourth proportional to 515.33, 710.40 and 410.46 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.33 : 710.40 = 410.46 : x
  2. Step 2: Convert to fraction form
    515.33/710.40 = 410.46/x
  3. Step 3: Cross multiply
    515.33x = 710.40 × 410.46
  4. Step 4: Simplify right side
    515.33x = 291,590.78
  5. Step 5: Solve for x
    x = 291,590.78/515.33
  6. Step 6: Final answer
    x = 565.83

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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.