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Finding the Fourth Proportional to 630.42, 870.33 and 381.84

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Solution

The fourth proportional to 630.42, 870.33 and 381.84 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 870.33 = 381.84 : x
  2. Step 2: Convert to fraction form
    630.42/870.33 = 381.84/x
  3. Step 3: Cross multiply
    630.42x = 870.33 × 381.84
  4. Step 4: Simplify right side
    630.42x = 332,326.81
  5. Step 5: Solve for x
    x = 332,326.81/630.42
  6. Step 6: Final answer
    x = 527.15

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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.