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Finding the Fourth Proportional to 565.79, 846.72 and 391.28

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Solution

The fourth proportional to 565.79, 846.72 and 391.28 is: 585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 846.72 = 391.28 : x
  2. Step 2: Convert to fraction form
    565.79/846.72 = 391.28/x
  3. Step 3: Cross multiply
    565.79x = 846.72 × 391.28
  4. Step 4: Simplify right side
    565.79x = 331,305.13
  5. Step 5: Solve for x
    x = 331,305.13/565.79
  6. Step 6: Final answer
    x = 585.57

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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.