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Finding the Fourth Proportional to 630.24, 869.82 and 381.66

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Solution

The fourth proportional to 630.24, 869.82 and 381.66 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.24 : 869.82 = 381.66 : x
  2. Step 2: Convert to fraction form
    630.24/869.82 = 381.66/x
  3. Step 3: Cross multiply
    630.24x = 869.82 × 381.66
  4. Step 4: Simplify right side
    630.24x = 331,975.50
  5. Step 5: Solve for x
    x = 331,975.50/630.24
  6. Step 6: Final answer
    x = 526.74

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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.