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Finding the Fourth Proportional to 699.91, 965.35 and 463.44

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Solution

The fourth proportional to 699.91, 965.35 and 463.44 is: 639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.91 : 965.35 = 463.44 : x
  2. Step 2: Convert to fraction form
    699.91/965.35 = 463.44/x
  3. Step 3: Cross multiply
    699.91x = 965.35 × 463.44
  4. Step 4: Simplify right side
    699.91x = 447,381.80
  5. Step 5: Solve for x
    x = 447,381.80/699.91
  6. Step 6: Final answer
    x = 639.20

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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.