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Finding the Fourth Proportional to 407.93, 563.21 and 364.19

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Solution

The fourth proportional to 407.93, 563.21 and 364.19 is: 502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.93 : 563.21 = 364.19 : x
  2. Step 2: Convert to fraction form
    407.93/563.21 = 364.19/x
  3. Step 3: Cross multiply
    407.93x = 563.21 × 364.19
  4. Step 4: Simplify right side
    407.93x = 205,115.45
  5. Step 5: Solve for x
    x = 205,115.45/407.93
  6. Step 6: Final answer
    x = 502.82

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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.