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Finding the Fourth Proportional to 464.08, 640.08 and 414.40

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Solution

The fourth proportional to 464.08, 640.08 and 414.40 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.08 : 640.08 = 414.40 : x
  2. Step 2: Convert to fraction form
    464.08/640.08 = 414.40/x
  3. Step 3: Cross multiply
    464.08x = 640.08 × 414.40
  4. Step 4: Simplify right side
    464.08x = 265,249.15
  5. Step 5: Solve for x
    x = 265,249.15/464.08
  6. Step 6: Final answer
    x = 571.56

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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.