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Finding the Fourth Proportional to 595.27, 821.49 and 359.35

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Solution

The fourth proportional to 595.27, 821.49 and 359.35 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.27 : 821.49 = 359.35 : x
  2. Step 2: Convert to fraction form
    595.27/821.49 = 359.35/x
  3. Step 3: Cross multiply
    595.27x = 821.49 × 359.35
  4. Step 4: Simplify right side
    595.27x = 295,202.43
  5. Step 5: Solve for x
    x = 295,202.43/595.27
  6. Step 6: Final answer
    x = 495.91

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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.