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Finding the Fourth Proportional to 699.44, 965.10 and 404.60

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Solution

The fourth proportional to 699.44, 965.10 and 404.60 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.44 : 965.10 = 404.60 : x
  2. Step 2: Convert to fraction form
    699.44/965.10 = 404.60/x
  3. Step 3: Cross multiply
    699.44x = 965.10 × 404.60
  4. Step 4: Simplify right side
    699.44x = 390,479.46
  5. Step 5: Solve for x
    x = 390,479.46/699.44
  6. Step 6: Final answer
    x = 558.27

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