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Finding the Fourth Proportional to 632.36, 950.52 and 417.32

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Solution

The fourth proportional to 632.36, 950.52 and 417.32 is: 627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 950.52 = 417.32 : x
  2. Step 2: Convert to fraction form
    632.36/950.52 = 417.32/x
  3. Step 3: Cross multiply
    632.36x = 950.52 × 417.32
  4. Step 4: Simplify right side
    632.36x = 396,671.01
  5. Step 5: Solve for x
    x = 396,671.01/632.36
  6. Step 6: Final answer
    x = 627.29

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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.