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Finding the Fourth Proportional to 464.52, 641.06 and 278.02

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Solution

The fourth proportional to 464.52, 641.06 and 278.02 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.52 : 641.06 = 278.02 : x
  2. Step 2: Convert to fraction form
    464.52/641.06 = 278.02/x
  3. Step 3: Cross multiply
    464.52x = 641.06 × 278.02
  4. Step 4: Simplify right side
    464.52x = 178,225.91
  5. Step 5: Solve for x
    x = 178,225.91/464.52
  6. Step 6: Final answer
    x = 383.68

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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.