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Finding the Fourth Proportional to 421.63, 628.99 and 392.17

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Solution

The fourth proportional to 421.63, 628.99 and 392.17 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.63 : 628.99 = 392.17 : x
  2. Step 2: Convert to fraction form
    421.63/628.99 = 392.17/x
  3. Step 3: Cross multiply
    421.63x = 628.99 × 392.17
  4. Step 4: Simplify right side
    421.63x = 246,671.01
  5. Step 5: Solve for x
    x = 246,671.01/421.63
  6. Step 6: Final answer
    x = 585.04

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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.