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Finding the Fourth Proportional to 699.51, 965.38 and 404.78

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Solution

The fourth proportional to 699.51, 965.38 and 404.78 is: 558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.51 : 965.38 = 404.78 : x
  2. Step 2: Convert to fraction form
    699.51/965.38 = 404.78/x
  3. Step 3: Cross multiply
    699.51x = 965.38 × 404.78
  4. Step 4: Simplify right side
    699.51x = 390,766.52
  5. Step 5: Solve for x
    x = 390,766.52/699.51
  6. Step 6: Final answer
    x = 558.63

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1.5x scale

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.