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Finding the Fourth Proportional to 636.38, 955.48 and 417.07

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Solution

The fourth proportional to 636.38, 955.48 and 417.07 is: 626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.38 : 955.48 = 417.07 : x
  2. Step 2: Convert to fraction form
    636.38/955.48 = 417.07/x
  3. Step 3: Cross multiply
    636.38x = 955.48 × 417.07
  4. Step 4: Simplify right side
    636.38x = 398,502.04
  5. Step 5: Solve for x
    x = 398,502.04/636.38
  6. Step 6: Final answer
    x = 626.20

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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.