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Finding the Fourth Proportional to 502.64, 753.84 and 194.48

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Solution

The fourth proportional to 502.64, 753.84 and 194.48 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 753.84 = 194.48 : x
  2. Step 2: Convert to fraction form
    502.64/753.84 = 194.48/x
  3. Step 3: Cross multiply
    502.64x = 753.84 × 194.48
  4. Step 4: Simplify right side
    502.64x = 146,606.80
  5. Step 5: Solve for x
    x = 146,606.80/502.64
  6. Step 6: Final answer
    x = 291.67

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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.