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Finding the Fourth Proportional to 688.93, 951.29 and 468.61

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Solution

The fourth proportional to 688.93, 951.29 and 468.61 is: 647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.93 : 951.29 = 468.61 : x
  2. Step 2: Convert to fraction form
    688.93/951.29 = 468.61/x
  3. Step 3: Cross multiply
    688.93x = 951.29 × 468.61
  4. Step 4: Simplify right side
    688.93x = 445,784.01
  5. Step 5: Solve for x
    x = 445,784.01/688.93
  6. Step 6: Final answer
    x = 647.07

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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.