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Finding the Fourth Proportional to 462.15, 638.57 and 369.66

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Solution

The fourth proportional to 462.15, 638.57 and 369.66 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 638.57 = 369.66 : x
  2. Step 2: Convert to fraction form
    462.15/638.57 = 369.66/x
  3. Step 3: Cross multiply
    462.15x = 638.57 × 369.66
  4. Step 4: Simplify right side
    462.15x = 236,051.94
  5. Step 5: Solve for x
    x = 236,051.94/462.15
  6. Step 6: Final answer
    x = 510.77

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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.