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Finding the Fourth Proportional to 563.98, 846.24 and 332.99

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Solution

The fourth proportional to 563.98, 846.24 and 332.99 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.98 : 846.24 = 332.99 : x
  2. Step 2: Convert to fraction form
    563.98/846.24 = 332.99/x
  3. Step 3: Cross multiply
    563.98x = 846.24 × 332.99
  4. Step 4: Simplify right side
    563.98x = 281,787.79
  5. Step 5: Solve for x
    x = 281,787.79/563.98
  6. Step 6: Final answer
    x = 499.65

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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.