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Finding the Fourth Proportional to 469.10, 703.73 and 195.05

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Solution

The fourth proportional to 469.10, 703.73 and 195.05 is: 292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 703.73 = 195.05 : x
  2. Step 2: Convert to fraction form
    469.10/703.73 = 195.05/x
  3. Step 3: Cross multiply
    469.10x = 703.73 × 195.05
  4. Step 4: Simplify right side
    469.10x = 137,258.04
  5. Step 5: Solve for x
    x = 137,258.04/469.10
  6. Step 6: Final answer
    x = 292.60

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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.