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Finding the Fourth Proportional to 674.14, 1,011.42 and 322.90

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Solution

The fourth proportional to 674.14, 1,011.42 and 322.90 is: 484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 1,011.42 = 322.90 : x
  2. Step 2: Convert to fraction form
    674.14/1,011.42 = 322.90/x
  3. Step 3: Cross multiply
    674.14x = 1,011.42 × 322.90
  4. Step 4: Simplify right side
    674.14x = 326,587.52
  5. Step 5: Solve for x
    x = 326,587.52/674.14
  6. Step 6: Final answer
    x = 484.45

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