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Finding the Fourth Proportional to 565.20, 844.67 and 454.30

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Solution

The fourth proportional to 565.20, 844.67 and 454.30 is: 678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 844.67 = 454.30 : x
  2. Step 2: Convert to fraction form
    565.20/844.67 = 454.30/x
  3. Step 3: Cross multiply
    565.20x = 844.67 × 454.30
  4. Step 4: Simplify right side
    565.20x = 383,731.10
  5. Step 5: Solve for x
    x = 383,731.10/565.20
  6. Step 6: Final answer
    x = 678.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.