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Finding the Fourth Proportional to 521.46, 783.90 and 483.12

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Solution

The fourth proportional to 521.46, 783.90 and 483.12 is: 726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.46 : 783.90 = 483.12 : x
  2. Step 2: Convert to fraction form
    521.46/783.90 = 483.12/x
  3. Step 3: Cross multiply
    521.46x = 783.90 × 483.12
  4. Step 4: Simplify right side
    521.46x = 378,717.77
  5. Step 5: Solve for x
    x = 378,717.77/521.46
  6. Step 6: Final answer
    x = 726.26

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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.