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Finding the Fourth Proportional to 554.31, 831.82 and 207.65

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Solution

The fourth proportional to 554.31, 831.82 and 207.65 is: 311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.31 : 831.82 = 207.65 : x
  2. Step 2: Convert to fraction form
    554.31/831.82 = 207.65/x
  3. Step 3: Cross multiply
    554.31x = 831.82 × 207.65
  4. Step 4: Simplify right side
    554.31x = 172,728.20
  5. Step 5: Solve for x
    x = 172,728.20/554.31
  6. Step 6: Final answer
    x = 311.61

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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.