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Finding the Fourth Proportional to 417.42, 626.63 and 280.71

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Solution

The fourth proportional to 417.42, 626.63 and 280.71 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 626.63 = 280.71 : x
  2. Step 2: Convert to fraction form
    417.42/626.63 = 280.71/x
  3. Step 3: Cross multiply
    417.42x = 626.63 × 280.71
  4. Step 4: Simplify right side
    417.42x = 175,899.90
  5. Step 5: Solve for x
    x = 175,899.90/417.42
  6. Step 6: Final answer
    x = 421.40

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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.