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Finding the Fourth Proportional to 404.96, 608.52 and 277.52

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Solution

The fourth proportional to 404.96, 608.52 and 277.52 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.96 : 608.52 = 277.52 : x
  2. Step 2: Convert to fraction form
    404.96/608.52 = 277.52/x
  3. Step 3: Cross multiply
    404.96x = 608.52 × 277.52
  4. Step 4: Simplify right side
    404.96x = 168,876.47
  5. Step 5: Solve for x
    x = 168,876.47/404.96
  6. Step 6: Final answer
    x = 417.02

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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.