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Finding the Fourth Proportional to 475.80, 657.36 and 402.90

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Solution

The fourth proportional to 475.80, 657.36 and 402.90 is: 556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.80 : 657.36 = 402.90 : x
  2. Step 2: Convert to fraction form
    475.80/657.36 = 402.90/x
  3. Step 3: Cross multiply
    475.80x = 657.36 × 402.90
  4. Step 4: Simplify right side
    475.80x = 264,850.34
  5. Step 5: Solve for x
    x = 264,850.34/475.80
  6. Step 6: Final answer
    x = 556.64

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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.