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Finding the Fourth Proportional to 502.18, 692.90 and 295.18

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Solution

The fourth proportional to 502.18, 692.90 and 295.18 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.18 : 692.90 = 295.18 : x
  2. Step 2: Convert to fraction form
    502.18/692.90 = 295.18/x
  3. Step 3: Cross multiply
    502.18x = 692.90 × 295.18
  4. Step 4: Simplify right side
    502.18x = 204,530.22
  5. Step 5: Solve for x
    x = 204,530.22/502.18
  6. Step 6: Final answer
    x = 407.28

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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.