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Finding the Fourth Proportional to 626.18, 864.07 and 364.21

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Solution

The fourth proportional to 626.18, 864.07 and 364.21 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.18 : 864.07 = 364.21 : x
  2. Step 2: Convert to fraction form
    626.18/864.07 = 364.21/x
  3. Step 3: Cross multiply
    626.18x = 864.07 × 364.21
  4. Step 4: Simplify right side
    626.18x = 314,702.93
  5. Step 5: Solve for x
    x = 314,702.93/626.18
  6. Step 6: Final answer
    x = 502.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.