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Finding the Fourth Proportional to 632.65, 873.05 and 349.10

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Solution

The fourth proportional to 632.65, 873.05 and 349.10 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.65 : 873.05 = 349.10 : x
  2. Step 2: Convert to fraction form
    632.65/873.05 = 349.10/x
  3. Step 3: Cross multiply
    632.65x = 873.05 × 349.10
  4. Step 4: Simplify right side
    632.65x = 304,777.39
  5. Step 5: Solve for x
    x = 304,777.39/632.65
  6. Step 6: Final answer
    x = 481.75

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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.