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Finding the Fourth Proportional to 454.36, 626.95 and 257.83

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Solution

The fourth proportional to 454.36, 626.95 and 257.83 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 626.95 = 257.83 : x
  2. Step 2: Convert to fraction form
    454.36/626.95 = 257.83/x
  3. Step 3: Cross multiply
    454.36x = 626.95 × 257.83
  4. Step 4: Simplify right side
    454.36x = 161,646.52
  5. Step 5: Solve for x
    x = 161,646.52/454.36
  6. Step 6: Final answer
    x = 355.77

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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.