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Finding the Fourth Proportional to 592.93, 817.49 and 382.75

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Solution

The fourth proportional to 592.93, 817.49 and 382.75 is: 527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.93 : 817.49 = 382.75 : x
  2. Step 2: Convert to fraction form
    592.93/817.49 = 382.75/x
  3. Step 3: Cross multiply
    592.93x = 817.49 × 382.75
  4. Step 4: Simplify right side
    592.93x = 312,888.30
  5. Step 5: Solve for x
    x = 312,888.30/592.93
  6. Step 6: Final answer
    x = 527.70

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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.