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Finding the Fourth Proportional to 531.66, 792.27 and 514.26

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Solution

The fourth proportional to 531.66, 792.27 and 514.26 is: 766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.66 : 792.27 = 514.26 : x
  2. Step 2: Convert to fraction form
    531.66/792.27 = 514.26/x
  3. Step 3: Cross multiply
    531.66x = 792.27 × 514.26
  4. Step 4: Simplify right side
    531.66x = 407,432.77
  5. Step 5: Solve for x
    x = 407,432.77/531.66
  6. Step 6: Final answer
    x = 766.34

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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.