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Finding the Fourth Proportional to 595.30, 821.50 and 333.32

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Solution

The fourth proportional to 595.30, 821.50 and 333.32 is: 459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 821.50 = 333.32 : x
  2. Step 2: Convert to fraction form
    595.30/821.50 = 333.32/x
  3. Step 3: Cross multiply
    595.30x = 821.50 × 333.32
  4. Step 4: Simplify right side
    595.30x = 273,816.61
  5. Step 5: Solve for x
    x = 273,816.61/595.30
  6. Step 6: Final answer
    x = 459.97

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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.