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Finding the Fourth Proportional to 586.53, 878.97 and 312.75

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Solution

The fourth proportional to 586.53, 878.97 and 312.75 is: 468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 878.97 = 312.75 : x
  2. Step 2: Convert to fraction form
    586.53/878.97 = 312.75/x
  3. Step 3: Cross multiply
    586.53x = 878.97 × 312.75
  4. Step 4: Simplify right side
    586.53x = 274,897.87
  5. Step 5: Solve for x
    x = 274,897.87/586.53
  6. Step 6: Final answer
    x = 468.69

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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.