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Finding the Fourth Proportional to 630.18, 869.64 and 381.42

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Solution

The fourth proportional to 630.18, 869.64 and 381.42 is: 526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 869.64 = 381.42 : x
  2. Step 2: Convert to fraction form
    630.18/869.64 = 381.42/x
  3. Step 3: Cross multiply
    630.18x = 869.64 × 381.42
  4. Step 4: Simplify right side
    630.18x = 331,698.09
  5. Step 5: Solve for x
    x = 331,698.09/630.18
  6. Step 6: Final answer
    x = 526.35

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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.