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Finding the Fourth Proportional to 476.26, 657.24 and 289.91

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Solution

The fourth proportional to 476.26, 657.24 and 289.91 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 657.24 = 289.91 : x
  2. Step 2: Convert to fraction form
    476.26/657.24 = 289.91/x
  3. Step 3: Cross multiply
    476.26x = 657.24 × 289.91
  4. Step 4: Simplify right side
    476.26x = 190,540.45
  5. Step 5: Solve for x
    x = 190,540.45/476.26
  6. Step 6: Final answer
    x = 400.08

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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.