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Finding the Fourth Proportional to 468.71, 701.67 and 448.66

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Solution

The fourth proportional to 468.71, 701.67 and 448.66 is: 671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.71 : 701.67 = 448.66 : x
  2. Step 2: Convert to fraction form
    468.71/701.67 = 448.66/x
  3. Step 3: Cross multiply
    468.71x = 701.67 × 448.66
  4. Step 4: Simplify right side
    468.71x = 314,811.26
  5. Step 5: Solve for x
    x = 314,811.26/468.71
  6. Step 6: Final answer
    x = 671.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.