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Finding the Fourth Proportional to 530, 728.97 and 464.39

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Solution

The fourth proportional to 530, 728.97 and 464.39 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530 : 728.97 = 464.39 : x
  2. Step 2: Convert to fraction form
    530/728.97 = 464.39/x
  3. Step 3: Cross multiply
    530x = 728.97 × 464.39
  4. Step 4: Simplify right side
    530x = 338,526.38
  5. Step 5: Solve for x
    x = 338,526.38/530
  6. Step 6: Final answer
    x = 638.73

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Why These Related Problems?

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