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Finding the Fourth Proportional to 600.52, 902.46 and 557.32

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Solution

The fourth proportional to 600.52, 902.46 and 557.32 is: 837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.52 : 902.46 = 557.32 : x
  2. Step 2: Convert to fraction form
    600.52/902.46 = 557.32/x
  3. Step 3: Cross multiply
    600.52x = 902.46 × 557.32
  4. Step 4: Simplify right side
    600.52x = 502,959.01
  5. Step 5: Solve for x
    x = 502,959.01/600.52
  6. Step 6: Final answer
    x = 837.54

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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.