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Finding the Fourth Proportional to 464.22, 695.37 and 271.74

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Solution

The fourth proportional to 464.22, 695.37 and 271.74 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 695.37 = 271.74 : x
  2. Step 2: Convert to fraction form
    464.22/695.37 = 271.74/x
  3. Step 3: Cross multiply
    464.22x = 695.37 × 271.74
  4. Step 4: Simplify right side
    464.22x = 188,959.84
  5. Step 5: Solve for x
    x = 188,959.84/464.22
  6. Step 6: Final answer
    x = 407.05

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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.