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Finding the Fourth Proportional to 464.01, 640.35 and 442.14

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Solution

The fourth proportional to 464.01, 640.35 and 442.14 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.01 : 640.35 = 442.14 : x
  2. Step 2: Convert to fraction form
    464.01/640.35 = 442.14/x
  3. Step 3: Cross multiply
    464.01x = 640.35 × 442.14
  4. Step 4: Simplify right side
    464.01x = 283,124.35
  5. Step 5: Solve for x
    x = 283,124.35/464.01
  6. Step 6: Final answer
    x = 610.17

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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.