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Finding the Fourth Proportional to 467.01, 704.93 and 464.58

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Solution

The fourth proportional to 467.01, 704.93 and 464.58 is: 701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.01 : 704.93 = 464.58 : x
  2. Step 2: Convert to fraction form
    467.01/704.93 = 464.58/x
  3. Step 3: Cross multiply
    467.01x = 704.93 × 464.58
  4. Step 4: Simplify right side
    467.01x = 327,494.06
  5. Step 5: Solve for x
    x = 327,494.06/467.01
  6. Step 6: Final answer
    x = 701.26

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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.