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Finding the Fourth Proportional to 595.92, 822.30 and 359.92

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Solution

The fourth proportional to 595.92, 822.30 and 359.92 is: 496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 822.30 = 359.92 : x
  2. Step 2: Convert to fraction form
    595.92/822.30 = 359.92/x
  3. Step 3: Cross multiply
    595.92x = 822.30 × 359.92
  4. Step 4: Simplify right side
    595.92x = 295,962.22
  5. Step 5: Solve for x
    x = 295,962.22/595.92
  6. Step 6: Final answer
    x = 496.65

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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.