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Finding the Fourth Proportional to 493.46, 741.63 and 237.14

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Solution

The fourth proportional to 493.46, 741.63 and 237.14 is: 356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 741.63 = 237.14 : x
  2. Step 2: Convert to fraction form
    493.46/741.63 = 237.14/x
  3. Step 3: Cross multiply
    493.46x = 741.63 × 237.14
  4. Step 4: Simplify right side
    493.46x = 175,870.14
  5. Step 5: Solve for x
    x = 175,870.14/493.46
  6. Step 6: Final answer
    x = 356.40

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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.