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Finding the Fourth Proportional to 586.29, 878.67 and 312.33

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Solution

The fourth proportional to 586.29, 878.67 and 312.33 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 878.67 = 312.33 : x
  2. Step 2: Convert to fraction form
    586.29/878.67 = 312.33/x
  3. Step 3: Cross multiply
    586.29x = 878.67 × 312.33
  4. Step 4: Simplify right side
    586.29x = 274,435.00
  5. Step 5: Solve for x
    x = 274,435.00/586.29
  6. Step 6: Final answer
    x = 468.09

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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.