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Finding the Fourth Proportional to 443.64, 665.86 and 353.32

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Solution

The fourth proportional to 443.64, 665.86 and 353.32 is: 530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 665.86 = 353.32 : x
  2. Step 2: Convert to fraction form
    443.64/665.86 = 353.32/x
  3. Step 3: Cross multiply
    443.64x = 665.86 × 353.32
  4. Step 4: Simplify right side
    443.64x = 235,261.66
  5. Step 5: Solve for x
    x = 235,261.66/443.64
  6. Step 6: Final answer
    x = 530.30

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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.