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Finding the Fourth Proportional to 595.28, 821.76 and 396.20

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Solution

The fourth proportional to 595.28, 821.76 and 396.20 is: 546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 821.76 = 396.20 : x
  2. Step 2: Convert to fraction form
    595.28/821.76 = 396.20/x
  3. Step 3: Cross multiply
    595.28x = 821.76 × 396.20
  4. Step 4: Simplify right side
    595.28x = 325,581.31
  5. Step 5: Solve for x
    x = 325,581.31/595.28
  6. Step 6: Final answer
    x = 546.94

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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.