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Finding the Fourth Proportional to 464.93, 641.59 and 268.50

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Solution

The fourth proportional to 464.93, 641.59 and 268.50 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 641.59 = 268.50 : x
  2. Step 2: Convert to fraction form
    464.93/641.59 = 268.50/x
  3. Step 3: Cross multiply
    464.93x = 641.59 × 268.50
  4. Step 4: Simplify right side
    464.93x = 172,266.92
  5. Step 5: Solve for x
    x = 172,266.92/464.93
  6. Step 6: Final answer
    x = 370.52

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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.