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Finding the Fourth Proportional to 530.50, 731.91 and 320.68

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Solution

The fourth proportional to 530.50, 731.91 and 320.68 is: 442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.50 : 731.91 = 320.68 : x
  2. Step 2: Convert to fraction form
    530.50/731.91 = 320.68/x
  3. Step 3: Cross multiply
    530.50x = 731.91 × 320.68
  4. Step 4: Simplify right side
    530.50x = 234,708.90
  5. Step 5: Solve for x
    x = 234,708.90/530.50
  6. Step 6: Final answer
    x = 442.43

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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.