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Finding the Fourth Proportional to 531.25, 793.14 and 454.24

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Solution

The fourth proportional to 531.25, 793.14 and 454.24 is: 678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.25 : 793.14 = 454.24 : x
  2. Step 2: Convert to fraction form
    531.25/793.14 = 454.24/x
  3. Step 3: Cross multiply
    531.25x = 793.14 × 454.24
  4. Step 4: Simplify right side
    531.25x = 360,275.91
  5. Step 5: Solve for x
    x = 360,275.91/531.25
  6. Step 6: Final answer
    x = 678.17

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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.