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Finding the Fourth Proportional to 602.46, 902.04 and 438.12

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Solution

The fourth proportional to 602.46, 902.04 and 438.12 is: 655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 902.04 = 438.12 : x
  2. Step 2: Convert to fraction form
    602.46/902.04 = 438.12/x
  3. Step 3: Cross multiply
    602.46x = 902.04 × 438.12
  4. Step 4: Simplify right side
    602.46x = 395,201.76
  5. Step 5: Solve for x
    x = 395,201.76/602.46
  6. Step 6: Final answer
    x = 655.98

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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.