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Finding the Fourth Proportional to 602.48, 903.63 and 500.42

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Solution

The fourth proportional to 602.48, 903.63 and 500.42 is: 750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 903.63 = 500.42 : x
  2. Step 2: Convert to fraction form
    602.48/903.63 = 500.42/x
  3. Step 3: Cross multiply
    602.48x = 903.63 × 500.42
  4. Step 4: Simplify right side
    602.48x = 452,198.66
  5. Step 5: Solve for x
    x = 452,198.66/602.48
  6. Step 6: Final answer
    x = 750.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.