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Finding the Fourth Proportional to 433.15, 646.08 and 420.18

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Solution

The fourth proportional to 433.15, 646.08 and 420.18 is: 626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.15 : 646.08 = 420.18 : x
  2. Step 2: Convert to fraction form
    433.15/646.08 = 420.18/x
  3. Step 3: Cross multiply
    433.15x = 646.08 × 420.18
  4. Step 4: Simplify right side
    433.15x = 271,470.74
  5. Step 5: Solve for x
    x = 271,470.74/433.15
  6. Step 6: Final answer
    x = 626.73

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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.