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Finding the Fourth Proportional to 595.74, 822.21 and 359.86

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Solution

The fourth proportional to 595.74, 822.21 and 359.86 is: 496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 822.21 = 359.86 : x
  2. Step 2: Convert to fraction form
    595.74/822.21 = 359.86/x
  3. Step 3: Cross multiply
    595.74x = 822.21 × 359.86
  4. Step 4: Simplify right side
    595.74x = 295,880.49
  5. Step 5: Solve for x
    x = 295,880.49/595.74
  6. Step 6: Final answer
    x = 496.66

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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.