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Finding the Fourth Proportional to 613.70, 846.56 and 380.78

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Solution

The fourth proportional to 613.70, 846.56 and 380.78 is: 525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.70 : 846.56 = 380.78 : x
  2. Step 2: Convert to fraction form
    613.70/846.56 = 380.78/x
  3. Step 3: Cross multiply
    613.70x = 846.56 × 380.78
  4. Step 4: Simplify right side
    613.70x = 322,353.12
  5. Step 5: Solve for x
    x = 322,353.12/613.70
  6. Step 6: Final answer
    x = 525.26

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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.