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Finding the Fourth Proportional to 591.65, 814.61 and 502.95

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Solution

The fourth proportional to 591.65, 814.61 and 502.95 is: 692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.65 : 814.61 = 502.95 : x
  2. Step 2: Convert to fraction form
    591.65/814.61 = 502.95/x
  3. Step 3: Cross multiply
    591.65x = 814.61 × 502.95
  4. Step 4: Simplify right side
    591.65x = 409,709.36
  5. Step 5: Solve for x
    x = 409,709.36/591.65
  6. Step 6: Final answer
    x = 692.49

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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.