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Finding the Fourth Proportional to 464.15, 695.84 and 258.78

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Solution

The fourth proportional to 464.15, 695.84 and 258.78 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 695.84 = 258.78 : x
  2. Step 2: Convert to fraction form
    464.15/695.84 = 258.78/x
  3. Step 3: Cross multiply
    464.15x = 695.84 × 258.78
  4. Step 4: Simplify right side
    464.15x = 180,070.79
  5. Step 5: Solve for x
    x = 180,070.79/464.15
  6. Step 6: Final answer
    x = 387.96

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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.