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Finding the Fourth Proportional to 447.66, 666.32 and 437.58

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Solution

The fourth proportional to 447.66, 666.32 and 437.58 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.66 : 666.32 = 437.58 : x
  2. Step 2: Convert to fraction form
    447.66/666.32 = 437.58/x
  3. Step 3: Cross multiply
    447.66x = 666.32 × 437.58
  4. Step 4: Simplify right side
    447.66x = 291,566.12
  5. Step 5: Solve for x
    x = 291,566.12/447.66
  6. Step 6: Final answer
    x = 651.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.