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Finding the Fourth Proportional to 531.52, 792.08 and 514.11

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Solution

The fourth proportional to 531.52, 792.08 and 514.11 is: 766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.52 : 792.08 = 514.11 : x
  2. Step 2: Convert to fraction form
    531.52/792.08 = 514.11/x
  3. Step 3: Cross multiply
    531.52x = 792.08 × 514.11
  4. Step 4: Simplify right side
    531.52x = 407,216.25
  5. Step 5: Solve for x
    x = 407,216.25/531.52
  6. Step 6: Final answer
    x = 766.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.