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Finding the Fourth Proportional to 476.24, 657.18 and 263.59

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Solution

The fourth proportional to 476.24, 657.18 and 263.59 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 657.18 = 263.59 : x
  2. Step 2: Convert to fraction form
    476.24/657.18 = 263.59/x
  3. Step 3: Cross multiply
    476.24x = 657.18 × 263.59
  4. Step 4: Simplify right side
    476.24x = 173,224.43
  5. Step 5: Solve for x
    x = 173,224.43/476.24
  6. Step 6: Final answer
    x = 363.74

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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.