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Finding the Fourth Proportional to 462.10, 637.74 and 265.62

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Solution

The fourth proportional to 462.10, 637.74 and 265.62 is: 366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 637.74 = 265.62 : x
  2. Step 2: Convert to fraction form
    462.10/637.74 = 265.62/x
  3. Step 3: Cross multiply
    462.10x = 637.74 × 265.62
  4. Step 4: Simplify right side
    462.10x = 169,396.50
  5. Step 5: Solve for x
    x = 169,396.50/462.10
  6. Step 6: Final answer
    x = 366.58

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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.