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Finding the Fourth Proportional to 699.08, 964.49 and 404.19

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Solution

The fourth proportional to 699.08, 964.49 and 404.19 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.08 : 964.49 = 404.19 : x
  2. Step 2: Convert to fraction form
    699.08/964.49 = 404.19/x
  3. Step 3: Cross multiply
    699.08x = 964.49 × 404.19
  4. Step 4: Simplify right side
    699.08x = 389,835.19
  5. Step 5: Solve for x
    x = 389,835.19/699.08
  6. Step 6: Final answer
    x = 557.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.