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Finding the Fourth Proportional to 558.78, 838.17 and 554.46

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Solution

The fourth proportional to 558.78, 838.17 and 554.46 is: 831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.78 : 838.17 = 554.46 : x
  2. Step 2: Convert to fraction form
    558.78/838.17 = 554.46/x
  3. Step 3: Cross multiply
    558.78x = 838.17 × 554.46
  4. Step 4: Simplify right side
    558.78x = 464,731.74
  5. Step 5: Solve for x
    x = 464,731.74/558.78
  6. Step 6: Final answer
    x = 831.69

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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.