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Finding the Fourth Proportional to 502.88, 692.73 and 427.95

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Solution

The fourth proportional to 502.88, 692.73 and 427.95 is: 589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 692.73 = 427.95 : x
  2. Step 2: Convert to fraction form
    502.88/692.73 = 427.95/x
  3. Step 3: Cross multiply
    502.88x = 692.73 × 427.95
  4. Step 4: Simplify right side
    502.88x = 296,454.32
  5. Step 5: Solve for x
    x = 296,454.32/502.88
  6. Step 6: Final answer
    x = 589.52

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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.