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Finding the Fourth Proportional to 602.36, 905.60 and 557.27

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Solution

The fourth proportional to 602.36, 905.60 and 557.27 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.36 : 905.60 = 557.27 : x
  2. Step 2: Convert to fraction form
    602.36/905.60 = 557.27/x
  3. Step 3: Cross multiply
    602.36x = 905.60 × 557.27
  4. Step 4: Simplify right side
    602.36x = 504,663.71
  5. Step 5: Solve for x
    x = 504,663.71/602.36
  6. Step 6: Final answer
    x = 837.81

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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.