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Finding the Fourth Proportional to 530.44, 731.48 and 404.73

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Solution

The fourth proportional to 530.44, 731.48 and 404.73 is: 558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 731.48 = 404.73 : x
  2. Step 2: Convert to fraction form
    530.44/731.48 = 404.73/x
  3. Step 3: Cross multiply
    530.44x = 731.48 × 404.73
  4. Step 4: Simplify right side
    530.44x = 296,049.25
  5. Step 5: Solve for x
    x = 296,049.25/530.44
  6. Step 6: Final answer
    x = 558.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.