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Finding the Fourth Proportional to 554.47, 831.70 and 229.61

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Solution

The fourth proportional to 554.47, 831.70 and 229.61 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.47 : 831.70 = 229.61 : x
  2. Step 2: Convert to fraction form
    554.47/831.70 = 229.61/x
  3. Step 3: Cross multiply
    554.47x = 831.70 × 229.61
  4. Step 4: Simplify right side
    554.47x = 190,966.64
  5. Step 5: Solve for x
    x = 190,966.64/554.47
  6. Step 6: Final answer
    x = 344.41

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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.