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Finding the Fourth Proportional to 531.64, 733.32 and 461.76

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Solution

The fourth proportional to 531.64, 733.32 and 461.76 is: 636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.64 : 733.32 = 461.76 : x
  2. Step 2: Convert to fraction form
    531.64/733.32 = 461.76/x
  3. Step 3: Cross multiply
    531.64x = 733.32 × 461.76
  4. Step 4: Simplify right side
    531.64x = 338,617.84
  5. Step 5: Solve for x
    x = 338,617.84/531.64
  6. Step 6: Final answer
    x = 636.93

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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.