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Finding the Fourth Proportional to 630.20, 869.49 and 433.78

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Solution

The fourth proportional to 630.20, 869.49 and 433.78 is: 598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.20 : 869.49 = 433.78 : x
  2. Step 2: Convert to fraction form
    630.20/869.49 = 433.78/x
  3. Step 3: Cross multiply
    630.20x = 869.49 × 433.78
  4. Step 4: Simplify right side
    630.20x = 377,165.20
  5. Step 5: Solve for x
    x = 377,165.20/630.20
  6. Step 6: Final answer
    x = 598.48

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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.