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Finding the Fourth Proportional to 630.89, 870.73 and 382.42

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Solution

The fourth proportional to 630.89, 870.73 and 382.42 is: 527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.89 : 870.73 = 382.42 : x
  2. Step 2: Convert to fraction form
    630.89/870.73 = 382.42/x
  3. Step 3: Cross multiply
    630.89x = 870.73 × 382.42
  4. Step 4: Simplify right side
    630.89x = 332,980.21
  5. Step 5: Solve for x
    x = 332,980.21/630.89
  6. Step 6: Final answer
    x = 527.80

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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.