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Finding the Fourth Proportional to 585.93, 878.90 and 153.07

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Solution

The fourth proportional to 585.93, 878.90 and 153.07 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 878.90 = 153.07 : x
  2. Step 2: Convert to fraction form
    585.93/878.90 = 153.07/x
  3. Step 3: Cross multiply
    585.93x = 878.90 × 153.07
  4. Step 4: Simplify right side
    585.93x = 134,533.22
  5. Step 5: Solve for x
    x = 134,533.22/585.93
  6. Step 6: Final answer
    x = 229.61

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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.