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Finding the Fourth Proportional to 584.38, 876.80 and 310.66

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Solution

The fourth proportional to 584.38, 876.80 and 310.66 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 876.80 = 310.66 : x
  2. Step 2: Convert to fraction form
    584.38/876.80 = 310.66/x
  3. Step 3: Cross multiply
    584.38x = 876.80 × 310.66
  4. Step 4: Simplify right side
    584.38x = 272,386.69
  5. Step 5: Solve for x
    x = 272,386.69/584.38
  6. Step 6: Final answer
    x = 466.11

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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.