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Finding the Fourth Proportional to 595.44, 821.52 and 496.98

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Solution

The fourth proportional to 595.44, 821.52 and 496.98 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 821.52 = 496.98 : x
  2. Step 2: Convert to fraction form
    595.44/821.52 = 496.98/x
  3. Step 3: Cross multiply
    595.44x = 821.52 × 496.98
  4. Step 4: Simplify right side
    595.44x = 408,279.01
  5. Step 5: Solve for x
    x = 408,279.01/595.44
  6. Step 6: Final answer
    x = 685.68

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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.