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Finding the Fourth Proportional to 602.40, 904.02 and 237.48

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Solution

The fourth proportional to 602.40, 904.02 and 237.48 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 904.02 = 237.48 : x
  2. Step 2: Convert to fraction form
    602.40/904.02 = 237.48/x
  3. Step 3: Cross multiply
    602.40x = 904.02 × 237.48
  4. Step 4: Simplify right side
    602.40x = 214,686.67
  5. Step 5: Solve for x
    x = 214,686.67/602.40
  6. Step 6: Final answer
    x = 356.39

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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.