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Finding the Fourth Proportional to 495.48, 742.41 and 392.22

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Solution

The fourth proportional to 495.48, 742.41 and 392.22 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 742.41 = 392.22 : x
  2. Step 2: Convert to fraction form
    495.48/742.41 = 392.22/x
  3. Step 3: Cross multiply
    495.48x = 742.41 × 392.22
  4. Step 4: Simplify right side
    495.48x = 291,188.05
  5. Step 5: Solve for x
    x = 291,188.05/495.48
  6. Step 6: Final answer
    x = 587.69

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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.