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Finding the Fourth Proportional to 600.23, 827.76 and 390.19

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Solution

The fourth proportional to 600.23, 827.76 and 390.19 is: 538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.23 : 827.76 = 390.19 : x
  2. Step 2: Convert to fraction form
    600.23/827.76 = 390.19/x
  3. Step 3: Cross multiply
    600.23x = 827.76 × 390.19
  4. Step 4: Simplify right side
    600.23x = 322,981.61
  5. Step 5: Solve for x
    x = 322,981.61/600.23
  6. Step 6: Final answer
    x = 538.09

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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.