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Finding the Fourth Proportional to 613.80, 846.90 and 466.20

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Solution

The fourth proportional to 613.80, 846.90 and 466.20 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 846.90 = 466.20 : x
  2. Step 2: Convert to fraction form
    613.80/846.90 = 466.20/x
  3. Step 3: Cross multiply
    613.80x = 846.90 × 466.20
  4. Step 4: Simplify right side
    613.80x = 394,824.78
  5. Step 5: Solve for x
    x = 394,824.78/613.80
  6. Step 6: Final answer
    x = 643.25

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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.