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Finding the Fourth Proportional to 495.30, 742.08 and 348.78

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Solution

The fourth proportional to 495.30, 742.08 and 348.78 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.30 : 742.08 = 348.78 : x
  2. Step 2: Convert to fraction form
    495.30/742.08 = 348.78/x
  3. Step 3: Cross multiply
    495.30x = 742.08 × 348.78
  4. Step 4: Simplify right side
    495.30x = 258,822.66
  5. Step 5: Solve for x
    x = 258,822.66/495.30
  6. Step 6: Final answer
    x = 522.56

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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.