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Finding the Fourth Proportional to 514.90, 710.56 and 282.02

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Solution

The fourth proportional to 514.90, 710.56 and 282.02 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 710.56 = 282.02 : x
  2. Step 2: Convert to fraction form
    514.90/710.56 = 282.02/x
  3. Step 3: Cross multiply
    514.90x = 710.56 × 282.02
  4. Step 4: Simplify right side
    514.90x = 200,392.13
  5. Step 5: Solve for x
    x = 200,392.13/514.90
  6. Step 6: Final answer
    x = 389.19

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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.