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Finding the Fourth Proportional to 531.12, 732.96 and 298.24

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Solution

The fourth proportional to 531.12, 732.96 and 298.24 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 732.96 = 298.24 : x
  2. Step 2: Convert to fraction form
    531.12/732.96 = 298.24/x
  3. Step 3: Cross multiply
    531.12x = 732.96 × 298.24
  4. Step 4: Simplify right side
    531.12x = 218,597.99
  5. Step 5: Solve for x
    x = 218,597.99/531.12
  6. Step 6: Final answer
    x = 411.58

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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.