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Finding the Fourth Proportional to 718.67, 991.79 and 466.65

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Solution

The fourth proportional to 718.67, 991.79 and 466.65 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.67 : 991.79 = 466.65 : x
  2. Step 2: Convert to fraction form
    718.67/991.79 = 466.65/x
  3. Step 3: Cross multiply
    718.67x = 991.79 × 466.65
  4. Step 4: Simplify right side
    718.67x = 462,816.47
  5. Step 5: Solve for x
    x = 462,816.47/718.67
  6. Step 6: Final answer
    x = 643.99

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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.