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Finding the Fourth Proportional to 475.26, 657.06 and 454.86

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Solution

The fourth proportional to 475.26, 657.06 and 454.86 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.26 : 657.06 = 454.86 : x
  2. Step 2: Convert to fraction form
    475.26/657.06 = 454.86/x
  3. Step 3: Cross multiply
    475.26x = 657.06 × 454.86
  4. Step 4: Simplify right side
    475.26x = 298,870.31
  5. Step 5: Solve for x
    x = 298,870.31/475.26
  6. Step 6: Final answer
    x = 628.86

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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.