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Finding the Fourth Proportional to 464.22, 640.59 and 265.07

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Solution

The fourth proportional to 464.22, 640.59 and 265.07 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 640.59 = 265.07 : x
  2. Step 2: Convert to fraction form
    464.22/640.59 = 265.07/x
  3. Step 3: Cross multiply
    464.22x = 640.59 × 265.07
  4. Step 4: Simplify right side
    464.22x = 169,802.32
  5. Step 5: Solve for x
    x = 169,802.32/464.22
  6. Step 6: Final answer
    x = 365.78

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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.