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Finding the Fourth Proportional to 530.85, 731.12 and 482.25

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Solution

The fourth proportional to 530.85, 731.12 and 482.25 is: 664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.85 : 731.12 = 482.25 : x
  2. Step 2: Convert to fraction form
    530.85/731.12 = 482.25/x
  3. Step 3: Cross multiply
    530.85x = 731.12 × 482.25
  4. Step 4: Simplify right side
    530.85x = 352,580.21
  5. Step 5: Solve for x
    x = 352,580.21/530.85
  6. Step 6: Final answer
    x = 664.18

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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.