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Finding the Fourth Proportional to 508.95, 762.84 and 200.64

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Solution

The fourth proportional to 508.95, 762.84 and 200.64 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 762.84 = 200.64 : x
  2. Step 2: Convert to fraction form
    508.95/762.84 = 200.64/x
  3. Step 3: Cross multiply
    508.95x = 762.84 × 200.64
  4. Step 4: Simplify right side
    508.95x = 153,056.22
  5. Step 5: Solve for x
    x = 153,056.22/508.95
  6. Step 6: Final answer
    x = 300.73

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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.