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Finding the Fourth Proportional to 409.18, 564.26 and 364.18

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Solution

The fourth proportional to 409.18, 564.26 and 364.18 is: 502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 564.26 = 364.18 : x
  2. Step 2: Convert to fraction form
    409.18/564.26 = 364.18/x
  3. Step 3: Cross multiply
    409.18x = 564.26 × 364.18
  4. Step 4: Simplify right side
    409.18x = 205,492.21
  5. Step 5: Solve for x
    x = 205,492.21/409.18
  6. Step 6: Final answer
    x = 502.20

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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.