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Finding the Fourth Proportional to 566.02, 781.21 and 330

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Solution

The fourth proportional to 566.02, 781.21 and 330 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 781.21 = 330 : x
  2. Step 2: Convert to fraction form
    566.02/781.21 = 330/x
  3. Step 3: Cross multiply
    566.02x = 781.21 × 330
  4. Step 4: Simplify right side
    566.02x = 257,799.30
  5. Step 5: Solve for x
    x = 257,799.30/566.02
  6. Step 6: Final answer
    x = 455.46

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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.