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Finding the Fourth Proportional to 602.46, 903.52 and 232.18

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Solution

The fourth proportional to 602.46, 903.52 and 232.18 is: 348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 903.52 = 232.18 : x
  2. Step 2: Convert to fraction form
    602.46/903.52 = 232.18/x
  3. Step 3: Cross multiply
    602.46x = 903.52 × 232.18
  4. Step 4: Simplify right side
    602.46x = 209,779.27
  5. Step 5: Solve for x
    x = 209,779.27/602.46
  6. Step 6: Final answer
    x = 348.20

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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.