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Finding the Fourth Proportional to 699.59, 965.42 and 404.86

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Solution

The fourth proportional to 699.59, 965.42 and 404.86 is: 558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.59 : 965.42 = 404.86 : x
  2. Step 2: Convert to fraction form
    699.59/965.42 = 404.86/x
  3. Step 3: Cross multiply
    699.59x = 965.42 × 404.86
  4. Step 4: Simplify right side
    699.59x = 390,853.09
  5. Step 5: Solve for x
    x = 390,853.09/699.59
  6. Step 6: Final answer
    x = 558.69

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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.