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Finding the Fourth Proportional to 510.32, 704.40 and 289.42

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Solution

The fourth proportional to 510.32, 704.40 and 289.42 is: 399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 704.40 = 289.42 : x
  2. Step 2: Convert to fraction form
    510.32/704.40 = 289.42/x
  3. Step 3: Cross multiply
    510.32x = 704.40 × 289.42
  4. Step 4: Simplify right side
    510.32x = 203,863.56
  5. Step 5: Solve for x
    x = 203,863.56/510.32
  6. Step 6: Final answer
    x = 399.48

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Double scale
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Similar ratio
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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.