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Finding the Fourth Proportional to 469.16, 703.94 and 180.80

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Solution

The fourth proportional to 469.16, 703.94 and 180.80 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.16 : 703.94 = 180.80 : x
  2. Step 2: Convert to fraction form
    469.16/703.94 = 180.80/x
  3. Step 3: Cross multiply
    469.16x = 703.94 × 180.80
  4. Step 4: Simplify right side
    469.16x = 127,272.35
  5. Step 5: Solve for x
    x = 127,272.35/469.16
  6. Step 6: Final answer
    x = 271.28

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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.