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Finding the Fourth Proportional to 450.40, 671.78 and 420.16

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Solution

The fourth proportional to 450.40, 671.78 and 420.16 is: 626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 671.78 = 420.16 : x
  2. Step 2: Convert to fraction form
    450.40/671.78 = 420.16/x
  3. Step 3: Cross multiply
    450.40x = 671.78 × 420.16
  4. Step 4: Simplify right side
    450.40x = 282,255.08
  5. Step 5: Solve for x
    x = 282,255.08/450.40
  6. Step 6: Final answer
    x = 626.68

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