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Finding the Fourth Proportional to 585.63, 878.04 and 400.56

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Solution

The fourth proportional to 585.63, 878.04 and 400.56 is: 600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 878.04 = 400.56 : x
  2. Step 2: Convert to fraction form
    585.63/878.04 = 400.56/x
  3. Step 3: Cross multiply
    585.63x = 878.04 × 400.56
  4. Step 4: Simplify right side
    585.63x = 351,707.70
  5. Step 5: Solve for x
    x = 351,707.70/585.63
  6. Step 6: Final answer
    x = 600.56

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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.