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Finding the Fourth Proportional to 591.99, 816.53 and 395.16

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Solution

The fourth proportional to 591.99, 816.53 and 395.16 is: 545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.99 : 816.53 = 395.16 : x
  2. Step 2: Convert to fraction form
    591.99/816.53 = 395.16/x
  3. Step 3: Cross multiply
    591.99x = 816.53 × 395.16
  4. Step 4: Simplify right side
    591.99x = 322,658.02
  5. Step 5: Solve for x
    x = 322,658.02/591.99
  6. Step 6: Final answer
    x = 545.04

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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.