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Finding the Fourth Proportional to 515.16, 710.47 and 409.46

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Solution

The fourth proportional to 515.16, 710.47 and 409.46 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 710.47 = 409.46 : x
  2. Step 2: Convert to fraction form
    515.16/710.47 = 409.46/x
  3. Step 3: Cross multiply
    515.16x = 710.47 × 409.46
  4. Step 4: Simplify right side
    515.16x = 290,906.01
  5. Step 5: Solve for x
    x = 290,906.01/515.16
  6. Step 6: Final answer
    x = 564.69

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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.