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Finding the Fourth Proportional to 445.47, 668.10 and 292.47

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Solution

The fourth proportional to 445.47, 668.10 and 292.47 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 668.10 = 292.47 : x
  2. Step 2: Convert to fraction form
    445.47/668.10 = 292.47/x
  3. Step 3: Cross multiply
    445.47x = 668.10 × 292.47
  4. Step 4: Simplify right side
    445.47x = 195,399.21
  5. Step 5: Solve for x
    x = 195,399.21/445.47
  6. Step 6: Final answer
    x = 438.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.