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Finding the Fourth Proportional to 469.02, 703.74 and 180.36

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Solution

The fourth proportional to 469.02, 703.74 and 180.36 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 703.74 = 180.36 : x
  2. Step 2: Convert to fraction form
    469.02/703.74 = 180.36/x
  3. Step 3: Cross multiply
    469.02x = 703.74 × 180.36
  4. Step 4: Simplify right side
    469.02x = 126,926.55
  5. Step 5: Solve for x
    x = 126,926.55/469.02
  6. Step 6: Final answer
    x = 270.62

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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.