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Finding the Fourth Proportional to 443.64, 666.48 and 432.36

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Solution

The fourth proportional to 443.64, 666.48 and 432.36 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.64 : 666.48 = 432.36 : x
  2. Step 2: Convert to fraction form
    443.64/666.48 = 432.36/x
  3. Step 3: Cross multiply
    443.64x = 666.48 × 432.36
  4. Step 4: Simplify right side
    443.64x = 288,159.29
  5. Step 5: Solve for x
    x = 288,159.29/443.64
  6. Step 6: Final answer
    x = 649.53

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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.