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Finding the Fourth Proportional to 638.83, 880.89 and 491.81

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Solution

The fourth proportional to 638.83, 880.89 and 491.81 is: 678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.83 : 880.89 = 491.81 : x
  2. Step 2: Convert to fraction form
    638.83/880.89 = 491.81/x
  3. Step 3: Cross multiply
    638.83x = 880.89 × 491.81
  4. Step 4: Simplify right side
    638.83x = 433,230.51
  5. Step 5: Solve for x
    x = 433,230.51/638.83
  6. Step 6: Final answer
    x = 678.17

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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.