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Finding the Fourth Proportional to 462.93, 695.40 and 341.97

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Solution

The fourth proportional to 462.93, 695.40 and 341.97 is: 513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 695.40 = 341.97 : x
  2. Step 2: Convert to fraction form
    462.93/695.40 = 341.97/x
  3. Step 3: Cross multiply
    462.93x = 695.40 × 341.97
  4. Step 4: Simplify right side
    462.93x = 237,805.94
  5. Step 5: Solve for x
    x = 237,805.94/462.93
  6. Step 6: Final answer
    x = 513.70

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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.