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Finding the Fourth Proportional to 465.09, 699.05 and 404.94

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Solution

The fourth proportional to 465.09, 699.05 and 404.94 is: 608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 699.05 = 404.94 : x
  2. Step 2: Convert to fraction form
    465.09/699.05 = 404.94/x
  3. Step 3: Cross multiply
    465.09x = 699.05 × 404.94
  4. Step 4: Simplify right side
    465.09x = 283,073.31
  5. Step 5: Solve for x
    x = 283,073.31/465.09
  6. Step 6: Final answer
    x = 608.64

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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.