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Finding the Fourth Proportional to 699.21, 964.96 and 462.75

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Solution

The fourth proportional to 699.21, 964.96 and 462.75 is: 638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.21 : 964.96 = 462.75 : x
  2. Step 2: Convert to fraction form
    699.21/964.96 = 462.75/x
  3. Step 3: Cross multiply
    699.21x = 964.96 × 462.75
  4. Step 4: Simplify right side
    699.21x = 446,534.08
  5. Step 5: Solve for x
    x = 446,534.08/699.21
  6. Step 6: Final answer
    x = 638.63

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Half scale
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Double scale
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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.