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Finding the Fourth Proportional to 531.76, 733.71 and 298.87

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Solution

The fourth proportional to 531.76, 733.71 and 298.87 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 733.71 = 298.87 : x
  2. Step 2: Convert to fraction form
    531.76/733.71 = 298.87/x
  3. Step 3: Cross multiply
    531.76x = 733.71 × 298.87
  4. Step 4: Simplify right side
    531.76x = 219,283.91
  5. Step 5: Solve for x
    x = 219,283.91/531.76
  6. Step 6: Final answer
    x = 412.37

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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.