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Finding the Fourth Proportional to 699.19, 964.73 and 419.33

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Solution

The fourth proportional to 699.19, 964.73 and 419.33 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.19 : 964.73 = 419.33 : x
  2. Step 2: Convert to fraction form
    699.19/964.73 = 419.33/x
  3. Step 3: Cross multiply
    699.19x = 964.73 × 419.33
  4. Step 4: Simplify right side
    699.19x = 404,543.69
  5. Step 5: Solve for x
    x = 404,543.69/699.19
  6. Step 6: Final answer
    x = 578.59

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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.