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Finding the Fourth Proportional to 337.72, 505.86 and 312.10

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Solution

The fourth proportional to 337.72, 505.86 and 312.10 is: 467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 505.86 = 312.10 : x
  2. Step 2: Convert to fraction form
    337.72/505.86 = 312.10/x
  3. Step 3: Cross multiply
    337.72x = 505.86 × 312.10
  4. Step 4: Simplify right side
    337.72x = 157,878.91
  5. Step 5: Solve for x
    x = 157,878.91/337.72
  6. Step 6: Final answer
    x = 467.48

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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.