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Finding the Fourth Proportional to 420.77, 628.14 and 392.97

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Solution

The fourth proportional to 420.77, 628.14 and 392.97 is: 586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.77 : 628.14 = 392.97 : x
  2. Step 2: Convert to fraction form
    420.77/628.14 = 392.97/x
  3. Step 3: Cross multiply
    420.77x = 628.14 × 392.97
  4. Step 4: Simplify right side
    420.77x = 246,844.00
  5. Step 5: Solve for x
    x = 246,844.00/420.77
  6. Step 6: Final answer
    x = 586.65

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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.