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Finding the Fourth Proportional to 469.51, 703.99 and 195.46

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Solution

The fourth proportional to 469.51, 703.99 and 195.46 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.51 : 703.99 = 195.46 : x
  2. Step 2: Convert to fraction form
    469.51/703.99 = 195.46/x
  3. Step 3: Cross multiply
    469.51x = 703.99 × 195.46
  4. Step 4: Simplify right side
    469.51x = 137,601.89
  5. Step 5: Solve for x
    x = 137,601.89/469.51
  6. Step 6: Final answer
    x = 293.08

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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.