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Finding the Fourth Proportional to 595.32, 821.52 and 329.75

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Solution

The fourth proportional to 595.32, 821.52 and 329.75 is: 455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.32 : 821.52 = 329.75 : x
  2. Step 2: Convert to fraction form
    595.32/821.52 = 329.75/x
  3. Step 3: Cross multiply
    595.32x = 821.52 × 329.75
  4. Step 4: Simplify right side
    595.32x = 270,890.46
  5. Step 5: Solve for x
    x = 270,890.46/595.32
  6. Step 6: Final answer
    x = 455.03

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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.