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Finding the Fourth Proportional to 531.54, 733.51 and 298.66

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Solution

The fourth proportional to 531.54, 733.51 and 298.66 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 733.51 = 298.66 : x
  2. Step 2: Convert to fraction form
    531.54/733.51 = 298.66/x
  3. Step 3: Cross multiply
    531.54x = 733.51 × 298.66
  4. Step 4: Simplify right side
    531.54x = 219,070.10
  5. Step 5: Solve for x
    x = 219,070.10/531.54
  6. Step 6: Final answer
    x = 412.14

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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.