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Finding the Fourth Proportional to 531.07, 732.84 and 298.19

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Solution

The fourth proportional to 531.07, 732.84 and 298.19 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.07 : 732.84 = 298.19 : x
  2. Step 2: Convert to fraction form
    531.07/732.84 = 298.19/x
  3. Step 3: Cross multiply
    531.07x = 732.84 × 298.19
  4. Step 4: Simplify right side
    531.07x = 218,525.56
  5. Step 5: Solve for x
    x = 218,525.56/531.07
  6. Step 6: Final answer
    x = 411.48

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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.