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Finding the Fourth Proportional to 595.97, 822.00 and 477.82

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Solution

The fourth proportional to 595.97, 822.00 and 477.82 is: 659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.97 : 822.00 = 477.82 : x
  2. Step 2: Convert to fraction form
    595.97/822.00 = 477.82/x
  3. Step 3: Cross multiply
    595.97x = 822.00 × 477.82
  4. Step 4: Simplify right side
    595.97x = 392,763.55
  5. Step 5: Solve for x
    x = 392,763.55/595.97
  6. Step 6: Final answer
    x = 659.03

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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.