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Finding the Fourth Proportional to 566.57, 781.85 and 330.65

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Solution

The fourth proportional to 566.57, 781.85 and 330.65 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.57 : 781.85 = 330.65 : x
  2. Step 2: Convert to fraction form
    566.57/781.85 = 330.65/x
  3. Step 3: Cross multiply
    566.57x = 781.85 × 330.65
  4. Step 4: Simplify right side
    566.57x = 258,518.70
  5. Step 5: Solve for x
    x = 258,518.70/566.57
  6. Step 6: Final answer
    x = 456.29

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1.5x scale

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.