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Finding the Fourth Proportional to 467.52, 704.03 and 407.37

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Solution

The fourth proportional to 467.52, 704.03 and 407.37 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 704.03 = 407.37 : x
  2. Step 2: Convert to fraction form
    467.52/704.03 = 407.37/x
  3. Step 3: Cross multiply
    467.52x = 704.03 × 407.37
  4. Step 4: Simplify right side
    467.52x = 286,800.70
  5. Step 5: Solve for x
    x = 286,800.70/467.52
  6. Step 6: Final answer
    x = 613.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.