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Finding the Fourth Proportional to 689.86, 952.26 and 468.88

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Solution

The fourth proportional to 689.86, 952.26 and 468.88 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.86 : 952.26 = 468.88 : x
  2. Step 2: Convert to fraction form
    689.86/952.26 = 468.88/x
  3. Step 3: Cross multiply
    689.86x = 952.26 × 468.88
  4. Step 4: Simplify right side
    689.86x = 446,495.67
  5. Step 5: Solve for x
    x = 446,495.67/689.86
  6. Step 6: Final answer
    x = 647.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.