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Finding the Fourth Proportional to 476.08, 657.11 and 301.52

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Solution

The fourth proportional to 476.08, 657.11 and 301.52 is: 416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.08 : 657.11 = 301.52 : x
  2. Step 2: Convert to fraction form
    476.08/657.11 = 301.52/x
  3. Step 3: Cross multiply
    476.08x = 657.11 × 301.52
  4. Step 4: Simplify right side
    476.08x = 198,134.20
  5. Step 5: Solve for x
    x = 198,134.20/476.08
  6. Step 6: Final answer
    x = 416.18

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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.