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Finding the Fourth Proportional to 566.34, 781.38 and 333.42

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Solution

The fourth proportional to 566.34, 781.38 and 333.42 is: 460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 781.38 = 333.42 : x
  2. Step 2: Convert to fraction form
    566.34/781.38 = 333.42/x
  3. Step 3: Cross multiply
    566.34x = 781.38 × 333.42
  4. Step 4: Simplify right side
    566.34x = 260,527.72
  5. Step 5: Solve for x
    x = 260,527.72/566.34
  6. Step 6: Final answer
    x = 460.02

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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.