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Finding the Fourth Proportional to 585.98, 878.84 and 175.10

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Solution

The fourth proportional to 585.98, 878.84 and 175.10 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 878.84 = 175.10 : x
  2. Step 2: Convert to fraction form
    585.98/878.84 = 175.10/x
  3. Step 3: Cross multiply
    585.98x = 878.84 × 175.10
  4. Step 4: Simplify right side
    585.98x = 153,884.88
  5. Step 5: Solve for x
    x = 153,884.88/585.98
  6. Step 6: Final answer
    x = 262.61

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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.