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Finding the Fourth Proportional to 464.85, 695.90 and 343.66

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Solution

The fourth proportional to 464.85, 695.90 and 343.66 is: 514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 695.90 = 343.66 : x
  2. Step 2: Convert to fraction form
    464.85/695.90 = 343.66/x
  3. Step 3: Cross multiply
    464.85x = 695.90 × 343.66
  4. Step 4: Simplify right side
    464.85x = 239,152.11
  5. Step 5: Solve for x
    x = 239,152.11/464.85
  6. Step 6: Final answer
    x = 514.47

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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.