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Finding the Fourth Proportional to 464.02, 695.68 and 281.37

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Solution

The fourth proportional to 464.02, 695.68 and 281.37 is: 421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 695.68 = 281.37 : x
  2. Step 2: Convert to fraction form
    464.02/695.68 = 281.37/x
  3. Step 3: Cross multiply
    464.02x = 695.68 × 281.37
  4. Step 4: Simplify right side
    464.02x = 195,743.48
  5. Step 5: Solve for x
    x = 195,743.48/464.02
  6. Step 6: Final answer
    x = 421.84

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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.