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Finding the Fourth Proportional to 630.44, 870.01 and 381.66

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Solution

The fourth proportional to 630.44, 870.01 and 381.66 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.44 : 870.01 = 381.66 : x
  2. Step 2: Convert to fraction form
    630.44/870.01 = 381.66/x
  3. Step 3: Cross multiply
    630.44x = 870.01 × 381.66
  4. Step 4: Simplify right side
    630.44x = 332,048.02
  5. Step 5: Solve for x
    x = 332,048.02/630.44
  6. Step 6: Final answer
    x = 526.69

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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.