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Finding the Fourth Proportional to 523.75, 781.55 and 469.09

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Solution

The fourth proportional to 523.75, 781.55 and 469.09 is: 699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.75 : 781.55 = 469.09 : x
  2. Step 2: Convert to fraction form
    523.75/781.55 = 469.09/x
  3. Step 3: Cross multiply
    523.75x = 781.55 × 469.09
  4. Step 4: Simplify right side
    523.75x = 366,617.29
  5. Step 5: Solve for x
    x = 366,617.29/523.75
  6. Step 6: Final answer
    x = 699.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.