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Finding the Fourth Proportional to 632.95, 873.47 and 353.18

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Solution

The fourth proportional to 632.95, 873.47 and 353.18 is: 487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.95 : 873.47 = 353.18 : x
  2. Step 2: Convert to fraction form
    632.95/873.47 = 353.18/x
  3. Step 3: Cross multiply
    632.95x = 873.47 × 353.18
  4. Step 4: Simplify right side
    632.95x = 308,487.33
  5. Step 5: Solve for x
    x = 308,487.33/632.95
  6. Step 6: Final answer
    x = 487.38

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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.