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Finding the Fourth Proportional to 464.24, 695.96 and 258.64

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Solution

The fourth proportional to 464.24, 695.96 and 258.64 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 695.96 = 258.64 : x
  2. Step 2: Convert to fraction form
    464.24/695.96 = 258.64/x
  3. Step 3: Cross multiply
    464.24x = 695.96 × 258.64
  4. Step 4: Simplify right side
    464.24x = 180,003.09
  5. Step 5: Solve for x
    x = 180,003.09/464.24
  6. Step 6: Final answer
    x = 387.74

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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.