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Finding the Fourth Proportional to 467.95, 701.65 and 344.63

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Solution

The fourth proportional to 467.95, 701.65 and 344.63 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.95 : 701.65 = 344.63 : x
  2. Step 2: Convert to fraction form
    467.95/701.65 = 344.63/x
  3. Step 3: Cross multiply
    467.95x = 701.65 × 344.63
  4. Step 4: Simplify right side
    467.95x = 241,807.25
  5. Step 5: Solve for x
    x = 241,807.25/467.95
  6. Step 6: Final answer
    x = 516.74

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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.