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Finding the Fourth Proportional to 586.40, 878.68 and 312.42

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Solution

The fourth proportional to 586.40, 878.68 and 312.42 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 878.68 = 312.42 : x
  2. Step 2: Convert to fraction form
    586.40/878.68 = 312.42/x
  3. Step 3: Cross multiply
    586.40x = 878.68 × 312.42
  4. Step 4: Simplify right side
    586.40x = 274,517.21
  5. Step 5: Solve for x
    x = 274,517.21/586.40
  6. Step 6: Final answer
    x = 468.14

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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.