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Finding the Fourth Proportional to 531.50, 733.47 and 298.63

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Solution

The fourth proportional to 531.50, 733.47 and 298.63 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.50 : 733.47 = 298.63 : x
  2. Step 2: Convert to fraction form
    531.50/733.47 = 298.63/x
  3. Step 3: Cross multiply
    531.50x = 733.47 × 298.63
  4. Step 4: Simplify right side
    531.50x = 219,032.48
  5. Step 5: Solve for x
    x = 219,032.48/531.50
  6. Step 6: Final answer
    x = 412.10

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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.