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Finding the Fourth Proportional to 475.60, 657.12 and 438.88

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Solution

The fourth proportional to 475.60, 657.12 and 438.88 is: 606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 657.12 = 438.88 : x
  2. Step 2: Convert to fraction form
    475.60/657.12 = 438.88/x
  3. Step 3: Cross multiply
    475.60x = 657.12 × 438.88
  4. Step 4: Simplify right side
    475.60x = 288,396.83
  5. Step 5: Solve for x
    x = 288,396.83/475.60
  6. Step 6: Final answer
    x = 606.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.