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Finding the Fourth Proportional to 585.68, 877.98 and 311.36

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Solution

The fourth proportional to 585.68, 877.98 and 311.36 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 877.98 = 311.36 : x
  2. Step 2: Convert to fraction form
    585.68/877.98 = 311.36/x
  3. Step 3: Cross multiply
    585.68x = 877.98 × 311.36
  4. Step 4: Simplify right side
    585.68x = 273,367.85
  5. Step 5: Solve for x
    x = 273,367.85/585.68
  6. Step 6: Final answer
    x = 466.75

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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.