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Finding the Fourth Proportional to 595.13, 821.31 and 333.17

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Solution

The fourth proportional to 595.13, 821.31 and 333.17 is: 459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.13 : 821.31 = 333.17 : x
  2. Step 2: Convert to fraction form
    595.13/821.31 = 333.17/x
  3. Step 3: Cross multiply
    595.13x = 821.31 × 333.17
  4. Step 4: Simplify right side
    595.13x = 273,631.75
  5. Step 5: Solve for x
    x = 273,631.75/595.13
  6. Step 6: Final answer
    x = 459.79

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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.