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Finding the Fourth Proportional to 566, 781.14 and 333.32

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Solution

The fourth proportional to 566, 781.14 and 333.32 is: 460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566 : 781.14 = 333.32 : x
  2. Step 2: Convert to fraction form
    566/781.14 = 333.32/x
  3. Step 3: Cross multiply
    566x = 781.14 × 333.32
  4. Step 4: Simplify right side
    566x = 260,369.58
  5. Step 5: Solve for x
    x = 260,369.58/566
  6. Step 6: Final answer
    x = 460.02

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Why These Related Problems?

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