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Finding the Fourth Proportional to 630.14, 869.85 and 381.40

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Solution

The fourth proportional to 630.14, 869.85 and 381.40 is: 526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.14 : 869.85 = 381.40 : x
  2. Step 2: Convert to fraction form
    630.14/869.85 = 381.40/x
  3. Step 3: Cross multiply
    630.14x = 869.85 × 381.40
  4. Step 4: Simplify right side
    630.14x = 331,758.62
  5. Step 5: Solve for x
    x = 331,758.62/630.14
  6. Step 6: Final answer
    x = 526.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.