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Finding the Fourth Proportional to 584.38, 876.45 and 340.75

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Solution

The fourth proportional to 584.38, 876.45 and 340.75 is: 511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 876.45 = 340.75 : x
  2. Step 2: Convert to fraction form
    584.38/876.45 = 340.75/x
  3. Step 3: Cross multiply
    584.38x = 876.45 × 340.75
  4. Step 4: Simplify right side
    584.38x = 298,650.34
  5. Step 5: Solve for x
    x = 298,650.34/584.38
  6. Step 6: Final answer
    x = 511.06

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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.