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Finding the Fourth Proportional to 462.14, 637.74 and 265.65

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Solution

The fourth proportional to 462.14, 637.74 and 265.65 is: 366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 637.74 = 265.65 : x
  2. Step 2: Convert to fraction form
    462.14/637.74 = 265.65/x
  3. Step 3: Cross multiply
    462.14x = 637.74 × 265.65
  4. Step 4: Simplify right side
    462.14x = 169,413.24
  5. Step 5: Solve for x
    x = 169,413.24/462.14
  6. Step 6: Final answer
    x = 366.59

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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.