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Finding the Fourth Proportional to 696.64, 1,045.46 and 331.43

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Solution

The fourth proportional to 696.64, 1,045.46 and 331.43 is: 497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 1,045.46 = 331.43 : x
  2. Step 2: Convert to fraction form
    696.64/1,045.46 = 331.43/x
  3. Step 3: Cross multiply
    696.64x = 1,045.46 × 331.43
  4. Step 4: Simplify right side
    696.64x = 346,492.41
  5. Step 5: Solve for x
    x = 346,492.41/696.64
  6. Step 6: Final answer
    x = 497.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.