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Finding the Fourth Proportional to 521.20, 780.49 and 471.89

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Solution

The fourth proportional to 521.20, 780.49 and 471.89 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 780.49 = 471.89 : x
  2. Step 2: Convert to fraction form
    521.20/780.49 = 471.89/x
  3. Step 3: Cross multiply
    521.20x = 780.49 × 471.89
  4. Step 4: Simplify right side
    521.20x = 368,305.43
  5. Step 5: Solve for x
    x = 368,305.43/521.20
  6. Step 6: Final answer
    x = 706.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.