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Finding the Fourth Proportional to 530.54, 731.96 and 320.78

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Solution

The fourth proportional to 530.54, 731.96 and 320.78 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.54 : 731.96 = 320.78 : x
  2. Step 2: Convert to fraction form
    530.54/731.96 = 320.78/x
  3. Step 3: Cross multiply
    530.54x = 731.96 × 320.78
  4. Step 4: Simplify right side
    530.54x = 234,795.27
  5. Step 5: Solve for x
    x = 234,795.27/530.54
  6. Step 6: Final answer
    x = 442.56

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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.