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Finding the Fourth Proportional to 595.98, 822.92 and 464.76

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Solution

The fourth proportional to 595.98, 822.92 and 464.76 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 822.92 = 464.76 : x
  2. Step 2: Convert to fraction form
    595.98/822.92 = 464.76/x
  3. Step 3: Cross multiply
    595.98x = 822.92 × 464.76
  4. Step 4: Simplify right side
    595.98x = 382,457.98
  5. Step 5: Solve for x
    x = 382,457.98/595.98
  6. Step 6: Final answer
    x = 641.73

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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.