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Finding the Fourth Proportional to 732.42, 1,098.64 and 212.46

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Solution

The fourth proportional to 732.42, 1,098.64 and 212.46 is: 318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.42 : 1,098.64 = 212.46 : x
  2. Step 2: Convert to fraction form
    732.42/1,098.64 = 212.46/x
  3. Step 3: Cross multiply
    732.42x = 1,098.64 × 212.46
  4. Step 4: Simplify right side
    732.42x = 233,417.05
  5. Step 5: Solve for x
    x = 233,417.05/732.42
  6. Step 6: Final answer
    x = 318.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.