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Finding the Fourth Proportional to 595.85, 822.24 and 359.85

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Solution

The fourth proportional to 595.85, 822.24 and 359.85 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.85 : 822.24 = 359.85 : x
  2. Step 2: Convert to fraction form
    595.85/822.24 = 359.85/x
  3. Step 3: Cross multiply
    595.85x = 822.24 × 359.85
  4. Step 4: Simplify right side
    595.85x = 295,883.06
  5. Step 5: Solve for x
    x = 295,883.06/595.85
  6. Step 6: Final answer
    x = 496.58

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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.