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Finding the Fourth Proportional to 595.08, 821.24 and 333.12

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Solution

The fourth proportional to 595.08, 821.24 and 333.12 is: 459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.08 : 821.24 = 333.12 : x
  2. Step 2: Convert to fraction form
    595.08/821.24 = 333.12/x
  3. Step 3: Cross multiply
    595.08x = 821.24 × 333.12
  4. Step 4: Simplify right side
    595.08x = 273,571.47
  5. Step 5: Solve for x
    x = 273,571.47/595.08
  6. Step 6: Final answer
    x = 459.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.