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Finding the Fourth Proportional to 566.57, 781.80 and 330.54

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Solution

The fourth proportional to 566.57, 781.80 and 330.54 is: 456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 781.80 = 330.54 : x
  2. Step 2: Convert to fraction form
    566.57/781.80 = 330.54/x
  3. Step 3: Cross multiply
    566.57x = 781.80 × 330.54
  4. Step 4: Simplify right side
    566.57x = 258,416.17
  5. Step 5: Solve for x
    x = 258,416.17/566.57
  6. Step 6: Final answer
    x = 456.11

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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.