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Finding the Fourth Proportional to 521.24, 780.03 and 433.76

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Solution

The fourth proportional to 521.24, 780.03 and 433.76 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 780.03 = 433.76 : x
  2. Step 2: Convert to fraction form
    521.24/780.03 = 433.76/x
  3. Step 3: Cross multiply
    521.24x = 780.03 × 433.76
  4. Step 4: Simplify right side
    521.24x = 338,341.91
  5. Step 5: Solve for x
    x = 338,341.91/521.24
  6. Step 6: Final answer
    x = 649.12

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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.