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Finding the Fourth Proportional to 464.48, 640.29 and 353.76

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Solution

The fourth proportional to 464.48, 640.29 and 353.76 is: 487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 640.29 = 353.76 : x
  2. Step 2: Convert to fraction form
    464.48/640.29 = 353.76/x
  3. Step 3: Cross multiply
    464.48x = 640.29 × 353.76
  4. Step 4: Simplify right side
    464.48x = 226,507.22
  5. Step 5: Solve for x
    x = 226,507.22/464.48
  6. Step 6: Final answer
    x = 487.66

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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.