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Finding the Fourth Proportional to 420.93, 631.86 and 238.53

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Solution

The fourth proportional to 420.93, 631.86 and 238.53 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 631.86 = 238.53 : x
  2. Step 2: Convert to fraction form
    420.93/631.86 = 238.53/x
  3. Step 3: Cross multiply
    420.93x = 631.86 × 238.53
  4. Step 4: Simplify right side
    420.93x = 150,717.57
  5. Step 5: Solve for x
    x = 150,717.57/420.93
  6. Step 6: Final answer
    x = 358.06

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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.