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Finding the Fourth Proportional to 521.10, 781.80 and 312.81

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Solution

The fourth proportional to 521.10, 781.80 and 312.81 is: 469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 781.80 = 312.81 : x
  2. Step 2: Convert to fraction form
    521.10/781.80 = 312.81/x
  3. Step 3: Cross multiply
    521.10x = 781.80 × 312.81
  4. Step 4: Simplify right side
    521.10x = 244,554.86
  5. Step 5: Solve for x
    x = 244,554.86/521.10
  6. Step 6: Final answer
    x = 469.31

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