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Finding the Fourth Proportional to 475.02, 711.90 and 243.90

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Solution

The fourth proportional to 475.02, 711.90 and 243.90 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 711.90 = 243.90 : x
  2. Step 2: Convert to fraction form
    475.02/711.90 = 243.90/x
  3. Step 3: Cross multiply
    475.02x = 711.90 × 243.90
  4. Step 4: Simplify right side
    475.02x = 173,632.41
  5. Step 5: Solve for x
    x = 173,632.41/475.02
  6. Step 6: Final answer
    x = 365.53

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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.