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Finding the Fourth Proportional to 502.19, 692.79 and 315.54

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Solution

The fourth proportional to 502.19, 692.79 and 315.54 is: 435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.19 : 692.79 = 315.54 : x
  2. Step 2: Convert to fraction form
    502.19/692.79 = 315.54/x
  3. Step 3: Cross multiply
    502.19x = 692.79 × 315.54
  4. Step 4: Simplify right side
    502.19x = 218,602.96
  5. Step 5: Solve for x
    x = 218,602.96/502.19
  6. Step 6: Final answer
    x = 435.30

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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.