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Finding the Fourth Proportional to 464.55, 697.33 and 190.83

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Solution

The fourth proportional to 464.55, 697.33 and 190.83 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 697.33 = 190.83 : x
  2. Step 2: Convert to fraction form
    464.55/697.33 = 190.83/x
  3. Step 3: Cross multiply
    464.55x = 697.33 × 190.83
  4. Step 4: Simplify right side
    464.55x = 133,070.41
  5. Step 5: Solve for x
    x = 133,070.41/464.55
  6. Step 6: Final answer
    x = 286.45

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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.