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Finding the Fourth Proportional to 495.16, 742.29 and 312.01

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Solution

The fourth proportional to 495.16, 742.29 and 312.01 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 742.29 = 312.01 : x
  2. Step 2: Convert to fraction form
    495.16/742.29 = 312.01/x
  3. Step 3: Cross multiply
    495.16x = 742.29 × 312.01
  4. Step 4: Simplify right side
    495.16x = 231,601.90
  5. Step 5: Solve for x
    x = 231,601.90/495.16
  6. Step 6: Final answer
    x = 467.73

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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.