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Finding the Fourth Proportional to 508.39, 762.72 and 200.26

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Solution

The fourth proportional to 508.39, 762.72 and 200.26 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 762.72 = 200.26 : x
  2. Step 2: Convert to fraction form
    508.39/762.72 = 200.26/x
  3. Step 3: Cross multiply
    508.39x = 762.72 × 200.26
  4. Step 4: Simplify right side
    508.39x = 152,742.31
  5. Step 5: Solve for x
    x = 152,742.31/508.39
  6. Step 6: Final answer
    x = 300.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.