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Finding the Fourth Proportional to 417.49, 626.25 and 234.74

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Solution

The fourth proportional to 417.49, 626.25 and 234.74 is: 352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.49 : 626.25 = 234.74 : x
  2. Step 2: Convert to fraction form
    417.49/626.25 = 234.74/x
  3. Step 3: Cross multiply
    417.49x = 626.25 × 234.74
  4. Step 4: Simplify right side
    417.49x = 147,005.93
  5. Step 5: Solve for x
    x = 147,005.93/417.49
  6. Step 6: Final answer
    x = 352.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.