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Finding the Fourth Proportional to 563.40, 844.88 and 332.34

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Solution

The fourth proportional to 563.40, 844.88 and 332.34 is: 498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 844.88 = 332.34 : x
  2. Step 2: Convert to fraction form
    563.40/844.88 = 332.34/x
  3. Step 3: Cross multiply
    563.40x = 844.88 × 332.34
  4. Step 4: Simplify right side
    563.40x = 280,787.42
  5. Step 5: Solve for x
    x = 280,787.42/563.40
  6. Step 6: Final answer
    x = 498.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.