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Finding the Fourth Proportional to 468.44, 703.02 and 340.52

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Solution

The fourth proportional to 468.44, 703.02 and 340.52 is: 511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 703.02 = 340.52 : x
  2. Step 2: Convert to fraction form
    468.44/703.02 = 340.52/x
  3. Step 3: Cross multiply
    468.44x = 703.02 × 340.52
  4. Step 4: Simplify right side
    468.44x = 239,392.37
  5. Step 5: Solve for x
    x = 239,392.37/468.44
  6. Step 6: Final answer
    x = 511.04

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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.