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Finding the Fourth Proportional to 454.15, 626.71 and 257.66

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Solution

The fourth proportional to 454.15, 626.71 and 257.66 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.15 : 626.71 = 257.66 : x
  2. Step 2: Convert to fraction form
    454.15/626.71 = 257.66/x
  3. Step 3: Cross multiply
    454.15x = 626.71 × 257.66
  4. Step 4: Simplify right side
    454.15x = 161,478.10
  5. Step 5: Solve for x
    x = 161,478.10/454.15
  6. Step 6: Final answer
    x = 355.56

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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.