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Finding the Fourth Proportional to 585.29, 877.94 and 174.39

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Solution

The fourth proportional to 585.29, 877.94 and 174.39 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 877.94 = 174.39 : x
  2. Step 2: Convert to fraction form
    585.29/877.94 = 174.39/x
  3. Step 3: Cross multiply
    585.29x = 877.94 × 174.39
  4. Step 4: Simplify right side
    585.29x = 153,100.45
  5. Step 5: Solve for x
    x = 153,100.45/585.29
  6. Step 6: Final answer
    x = 261.58

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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.