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Finding the Fourth Proportional to 583.27, 874.91 and 400.11

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Solution

The fourth proportional to 583.27, 874.91 and 400.11 is: 600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.27 : 874.91 = 400.11 : x
  2. Step 2: Convert to fraction form
    583.27/874.91 = 400.11/x
  3. Step 3: Cross multiply
    583.27x = 874.91 × 400.11
  4. Step 4: Simplify right side
    583.27x = 350,062.51
  5. Step 5: Solve for x
    x = 350,062.51/583.27
  6. Step 6: Final answer
    x = 600.17

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