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Finding the Fourth Proportional to 445.90, 668.82 and 432.53

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Solution

The fourth proportional to 445.90, 668.82 and 432.53 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.90 : 668.82 = 432.53 : x
  2. Step 2: Convert to fraction form
    445.90/668.82 = 432.53/x
  3. Step 3: Cross multiply
    445.90x = 668.82 × 432.53
  4. Step 4: Simplify right side
    445.90x = 289,284.71
  5. Step 5: Solve for x
    x = 289,284.71/445.90
  6. Step 6: Final answer
    x = 648.77

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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.