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Finding the Fourth Proportional to 585.69, 878.70 and 174.84

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Solution

The fourth proportional to 585.69, 878.70 and 174.84 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.69 : 878.70 = 174.84 : x
  2. Step 2: Convert to fraction form
    585.69/878.70 = 174.84/x
  3. Step 3: Cross multiply
    585.69x = 878.70 × 174.84
  4. Step 4: Simplify right side
    585.69x = 153,631.91
  5. Step 5: Solve for x
    x = 153,631.91/585.69
  6. Step 6: Final answer
    x = 262.31

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Why These Related Problems?

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