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Finding the Fourth Proportional to 462.07, 637.64 and 262.88

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Solution

The fourth proportional to 462.07, 637.64 and 262.88 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 637.64 = 262.88 : x
  2. Step 2: Convert to fraction form
    462.07/637.64 = 262.88/x
  3. Step 3: Cross multiply
    462.07x = 637.64 × 262.88
  4. Step 4: Simplify right side
    462.07x = 167,621.49
  5. Step 5: Solve for x
    x = 167,621.49/462.07
  6. Step 6: Final answer
    x = 362.77

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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.