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Finding the Fourth Proportional to 592.55, 817.95 and 395.99

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Solution

The fourth proportional to 592.55, 817.95 and 395.99 is: 546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.55 : 817.95 = 395.99 : x
  2. Step 2: Convert to fraction form
    592.55/817.95 = 395.99/x
  3. Step 3: Cross multiply
    592.55x = 817.95 × 395.99
  4. Step 4: Simplify right side
    592.55x = 323,900.02
  5. Step 5: Solve for x
    x = 323,900.02/592.55
  6. Step 6: Final answer
    x = 546.62

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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.