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Finding the Fourth Proportional to 456.55, 684.55 and 174.99

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Solution

The fourth proportional to 456.55, 684.55 and 174.99 is: 262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.55 : 684.55 = 174.99 : x
  2. Step 2: Convert to fraction form
    456.55/684.55 = 174.99/x
  3. Step 3: Cross multiply
    456.55x = 684.55 × 174.99
  4. Step 4: Simplify right side
    456.55x = 119,789.40
  5. Step 5: Solve for x
    x = 119,789.40/456.55
  6. Step 6: Final answer
    x = 262.38

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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.