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Finding the Fourth Proportional to 443.02, 662.98 and 356.14

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Solution

The fourth proportional to 443.02, 662.98 and 356.14 is: 532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.02 : 662.98 = 356.14 : x
  2. Step 2: Convert to fraction form
    443.02/662.98 = 356.14/x
  3. Step 3: Cross multiply
    443.02x = 662.98 × 356.14
  4. Step 4: Simplify right side
    443.02x = 236,113.70
  5. Step 5: Solve for x
    x = 236,113.70/443.02
  6. Step 6: Final answer
    x = 532.96

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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.