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Finding the Fourth Proportional to 469.13, 703.62 and 195.03

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Solution

The fourth proportional to 469.13, 703.62 and 195.03 is: 292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 703.62 = 195.03 : x
  2. Step 2: Convert to fraction form
    469.13/703.62 = 195.03/x
  3. Step 3: Cross multiply
    469.13x = 703.62 × 195.03
  4. Step 4: Simplify right side
    469.13x = 137,227.01
  5. Step 5: Solve for x
    x = 137,227.01/469.13
  6. Step 6: Final answer
    x = 292.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.