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Finding the Fourth Proportional to 514.47, 710.13 and 409.74

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Solution

The fourth proportional to 514.47, 710.13 and 409.74 is: 565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 710.13 = 409.74 : x
  2. Step 2: Convert to fraction form
    514.47/710.13 = 409.74/x
  3. Step 3: Cross multiply
    514.47x = 710.13 × 409.74
  4. Step 4: Simplify right side
    514.47x = 290,968.67
  5. Step 5: Solve for x
    x = 290,968.67/514.47
  6. Step 6: Final answer
    x = 565.57

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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.