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Finding the Fourth Proportional to 592.35, 817.56 and 356.49

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Solution

The fourth proportional to 592.35, 817.56 and 356.49 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.35 : 817.56 = 356.49 : x
  2. Step 2: Convert to fraction form
    592.35/817.56 = 356.49/x
  3. Step 3: Cross multiply
    592.35x = 817.56 × 356.49
  4. Step 4: Simplify right side
    592.35x = 291,450.18
  5. Step 5: Solve for x
    x = 291,450.18/592.35
  6. Step 6: Final answer
    x = 492.02

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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.