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Finding the Fourth Proportional to 443.16, 665.10 and 354.84

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Solution

The fourth proportional to 443.16, 665.10 and 354.84 is: 532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.16 : 665.10 = 354.84 : x
  2. Step 2: Convert to fraction form
    443.16/665.10 = 354.84/x
  3. Step 3: Cross multiply
    443.16x = 665.10 × 354.84
  4. Step 4: Simplify right side
    443.16x = 236,004.08
  5. Step 5: Solve for x
    x = 236,004.08/443.16
  6. Step 6: Final answer
    x = 532.55

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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.