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Finding the Fourth Proportional to 585.29, 877.64 and 174.38

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Solution

The fourth proportional to 585.29, 877.64 and 174.38 is: 261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 877.64 = 174.38 : x
  2. Step 2: Convert to fraction form
    585.29/877.64 = 174.38/x
  3. Step 3: Cross multiply
    585.29x = 877.64 × 174.38
  4. Step 4: Simplify right side
    585.29x = 153,037.60
  5. Step 5: Solve for x
    x = 153,037.60/585.29
  6. Step 6: Final answer
    x = 261.48

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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.