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Finding the Fourth Proportional to 928.92, 1,393.58 and 416.28

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Solution

The fourth proportional to 928.92, 1,393.58 and 416.28 is: 624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.92 : 1,393.58 = 416.28 : x
  2. Step 2: Convert to fraction form
    928.92/1,393.58 = 416.28/x
  3. Step 3: Cross multiply
    928.92x = 1,393.58 × 416.28
  4. Step 4: Simplify right side
    928.92x = 580,119.48
  5. Step 5: Solve for x
    x = 580,119.48/928.92
  6. Step 6: Final answer
    x = 624.51

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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.