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Finding the Fourth Proportional to 595.13, 821.32 and 333.16

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Solution

The fourth proportional to 595.13, 821.32 and 333.16 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.13 : 821.32 = 333.16 : x
  2. Step 2: Convert to fraction form
    595.13/821.32 = 333.16/x
  3. Step 3: Cross multiply
    595.13x = 821.32 × 333.16
  4. Step 4: Simplify right side
    595.13x = 273,628.09
  5. Step 5: Solve for x
    x = 273,628.09/595.13
  6. Step 6: Final answer
    x = 459.78

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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.