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Finding the Fourth Proportional to 464.99, 697.48 and 191.02

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Solution

The fourth proportional to 464.99, 697.48 and 191.02 is: 286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 697.48 = 191.02 : x
  2. Step 2: Convert to fraction form
    464.99/697.48 = 191.02/x
  3. Step 3: Cross multiply
    464.99x = 697.48 × 191.02
  4. Step 4: Simplify right side
    464.99x = 133,232.63
  5. Step 5: Solve for x
    x = 133,232.63/464.99
  6. Step 6: Final answer
    x = 286.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.