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Finding the Fourth Proportional to 464, 640.48 and 280

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Solution

The fourth proportional to 464, 640.48 and 280 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 640.48 = 280 : x
  2. Step 2: Convert to fraction form
    464/640.48 = 280/x
  3. Step 3: Cross multiply
    464x = 640.48 × 280
  4. Step 4: Simplify right side
    464x = 179,334.40
  5. Step 5: Solve for x
    x = 179,334.40/464
  6. Step 6: Final answer
    x = 386.50

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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.