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Finding the Fourth Proportional to 531.47, 733.34 and 298.55

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Solution

The fourth proportional to 531.47, 733.34 and 298.55 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.47 : 733.34 = 298.55 : x
  2. Step 2: Convert to fraction form
    531.47/733.34 = 298.55/x
  3. Step 3: Cross multiply
    531.47x = 733.34 × 298.55
  4. Step 4: Simplify right side
    531.47x = 218,935.74
  5. Step 5: Solve for x
    x = 218,935.74/531.47
  6. Step 6: Final answer
    x = 411.95

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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.