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Finding the Fourth Proportional to 502.15, 692.71 and 305.53

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Solution

The fourth proportional to 502.15, 692.71 and 305.53 is: 421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.15 : 692.71 = 305.53 : x
  2. Step 2: Convert to fraction form
    502.15/692.71 = 305.53/x
  3. Step 3: Cross multiply
    502.15x = 692.71 × 305.53
  4. Step 4: Simplify right side
    502.15x = 211,638.70
  5. Step 5: Solve for x
    x = 211,638.70/502.15
  6. Step 6: Final answer
    x = 421.47

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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.