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Finding the Fourth Proportional to 566.41, 781.61 and 333.49

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Solution

The fourth proportional to 566.41, 781.61 and 333.49 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.41 : 781.61 = 333.49 : x
  2. Step 2: Convert to fraction form
    566.41/781.61 = 333.49/x
  3. Step 3: Cross multiply
    566.41x = 781.61 × 333.49
  4. Step 4: Simplify right side
    566.41x = 260,656.04
  5. Step 5: Solve for x
    x = 260,656.04/566.41
  6. Step 6: Final answer
    x = 460.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.