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Finding the Fourth Proportional to 632.01, 872.16 and 352.24

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Solution

The fourth proportional to 632.01, 872.16 and 352.24 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.01 : 872.16 = 352.24 : x
  2. Step 2: Convert to fraction form
    632.01/872.16 = 352.24/x
  3. Step 3: Cross multiply
    632.01x = 872.16 × 352.24
  4. Step 4: Simplify right side
    632.01x = 307,207.88
  5. Step 5: Solve for x
    x = 307,207.88/632.01
  6. Step 6: Final answer
    x = 486.08

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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.