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Finding the Fourth Proportional to 390.77, 585.88 and 174.23

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Solution

The fourth proportional to 390.77, 585.88 and 174.23 is: 261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.77 : 585.88 = 174.23 : x
  2. Step 2: Convert to fraction form
    390.77/585.88 = 174.23/x
  3. Step 3: Cross multiply
    390.77x = 585.88 × 174.23
  4. Step 4: Simplify right side
    390.77x = 102,077.87
  5. Step 5: Solve for x
    x = 102,077.87/390.77
  6. Step 6: Final answer
    x = 261.22

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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.