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Finding the Fourth Proportional to 464.59, 640.87 and 290.03

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Solution

The fourth proportional to 464.59, 640.87 and 290.03 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 640.87 = 290.03 : x
  2. Step 2: Convert to fraction form
    464.59/640.87 = 290.03/x
  3. Step 3: Cross multiply
    464.59x = 640.87 × 290.03
  4. Step 4: Simplify right side
    464.59x = 185,872.40
  5. Step 5: Solve for x
    x = 185,872.40/464.59
  6. Step 6: Final answer
    x = 400.08

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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.