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Finding the Fourth Proportional to 595.14, 821.32 and 329.58

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Solution

The fourth proportional to 595.14, 821.32 and 329.58 is: 454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 821.32 = 329.58 : x
  2. Step 2: Convert to fraction form
    595.14/821.32 = 329.58/x
  3. Step 3: Cross multiply
    595.14x = 821.32 × 329.58
  4. Step 4: Simplify right side
    595.14x = 270,690.65
  5. Step 5: Solve for x
    x = 270,690.65/595.14
  6. Step 6: Final answer
    x = 454.84

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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.