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Finding the Fourth Proportional to 699.39, 964.80 and 466.56

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Solution

The fourth proportional to 699.39, 964.80 and 466.56 is: 643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.39 : 964.80 = 466.56 : x
  2. Step 2: Convert to fraction form
    699.39/964.80 = 466.56/x
  3. Step 3: Cross multiply
    699.39x = 964.80 × 466.56
  4. Step 4: Simplify right side
    699.39x = 450,137.09
  5. Step 5: Solve for x
    x = 450,137.09/699.39
  6. Step 6: Final answer
    x = 643.61

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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.