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Finding the Fourth Proportional to 631.06, 946.38 and 230.29

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Solution

The fourth proportional to 631.06, 946.38 and 230.29 is: 345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 946.38 = 230.29 : x
  2. Step 2: Convert to fraction form
    631.06/946.38 = 230.29/x
  3. Step 3: Cross multiply
    631.06x = 946.38 × 230.29
  4. Step 4: Simplify right side
    631.06x = 217,937.12
  5. Step 5: Solve for x
    x = 217,937.12/631.06
  6. Step 6: Final answer
    x = 345.35

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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.