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Finding the Fourth Proportional to 531.16, 732.98 and 298.24

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Solution

The fourth proportional to 531.16, 732.98 and 298.24 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 732.98 = 298.24 : x
  2. Step 2: Convert to fraction form
    531.16/732.98 = 298.24/x
  3. Step 3: Cross multiply
    531.16x = 732.98 × 298.24
  4. Step 4: Simplify right side
    531.16x = 218,603.96
  5. Step 5: Solve for x
    x = 218,603.96/531.16
  6. Step 6: Final answer
    x = 411.56

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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.