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Finding the Fourth Proportional to 595.80, 822.43 and 362.88

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Solution

The fourth proportional to 595.80, 822.43 and 362.88 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.80 : 822.43 = 362.88 : x
  2. Step 2: Convert to fraction form
    595.80/822.43 = 362.88/x
  3. Step 3: Cross multiply
    595.80x = 822.43 × 362.88
  4. Step 4: Simplify right side
    595.80x = 298,443.40
  5. Step 5: Solve for x
    x = 298,443.40/595.80
  6. Step 6: Final answer
    x = 500.91

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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.