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Finding the Fourth Proportional to 565.15, 845.67 and 466.74

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Solution

The fourth proportional to 565.15, 845.67 and 466.74 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.15 : 845.67 = 466.74 : x
  2. Step 2: Convert to fraction form
    565.15/845.67 = 466.74/x
  3. Step 3: Cross multiply
    565.15x = 845.67 × 466.74
  4. Step 4: Simplify right side
    565.15x = 394,701.45
  5. Step 5: Solve for x
    x = 394,701.45/565.15
  6. Step 6: Final answer
    x = 698.40

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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.