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Finding the Fourth Proportional to 632.32, 872.54 and 352.54

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Solution

The fourth proportional to 632.32, 872.54 and 352.54 is: 486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.32 : 872.54 = 352.54 : x
  2. Step 2: Convert to fraction form
    632.32/872.54 = 352.54/x
  3. Step 3: Cross multiply
    632.32x = 872.54 × 352.54
  4. Step 4: Simplify right side
    632.32x = 307,605.25
  5. Step 5: Solve for x
    x = 307,605.25/632.32
  6. Step 6: Final answer
    x = 486.47

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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.