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Finding the Fourth Proportional to 469, 703.50 and 180.46

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Solution

The fourth proportional to 469, 703.50 and 180.46 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 703.50 = 180.46 : x
  2. Step 2: Convert to fraction form
    469/703.50 = 180.46/x
  3. Step 3: Cross multiply
    469x = 703.50 × 180.46
  4. Step 4: Simplify right side
    469x = 126,953.61
  5. Step 5: Solve for x
    x = 126,953.61/469
  6. Step 6: Final answer
    x = 270.69

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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.