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Finding the Fourth Proportional to 521.16, 782.30 and 463.76

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Solution

The fourth proportional to 521.16, 782.30 and 463.76 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 782.30 = 463.76 : x
  2. Step 2: Convert to fraction form
    521.16/782.30 = 463.76/x
  3. Step 3: Cross multiply
    521.16x = 782.30 × 463.76
  4. Step 4: Simplify right side
    521.16x = 362,799.45
  5. Step 5: Solve for x
    x = 362,799.45/521.16
  6. Step 6: Final answer
    x = 696.14

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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.