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Finding the Fourth Proportional to 638.76, 881.53 and 359.01

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Solution

The fourth proportional to 638.76, 881.53 and 359.01 is: 495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.76 : 881.53 = 359.01 : x
  2. Step 2: Convert to fraction form
    638.76/881.53 = 359.01/x
  3. Step 3: Cross multiply
    638.76x = 881.53 × 359.01
  4. Step 4: Simplify right side
    638.76x = 316,476.73
  5. Step 5: Solve for x
    x = 316,476.73/638.76
  6. Step 6: Final answer
    x = 495.45

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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.