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Finding the Fourth Proportional to 345.92, 477.10 and 235.24

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Solution

The fourth proportional to 345.92, 477.10 and 235.24 is: 324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.92 : 477.10 = 235.24 : x
  2. Step 2: Convert to fraction form
    345.92/477.10 = 235.24/x
  3. Step 3: Cross multiply
    345.92x = 477.10 × 235.24
  4. Step 4: Simplify right side
    345.92x = 112,233.00
  5. Step 5: Solve for x
    x = 112,233.00/345.92
  6. Step 6: Final answer
    x = 324.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.