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Finding the Fourth Proportional to 464.42, 640.96 and 278.02

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Solution

The fourth proportional to 464.42, 640.96 and 278.02 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 640.96 = 278.02 : x
  2. Step 2: Convert to fraction form
    464.42/640.96 = 278.02/x
  3. Step 3: Cross multiply
    464.42x = 640.96 × 278.02
  4. Step 4: Simplify right side
    464.42x = 178,197.76
  5. Step 5: Solve for x
    x = 178,197.76/464.42
  6. Step 6: Final answer
    x = 383.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.