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Finding the Fourth Proportional to 595.63, 822.09 and 362.80

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Solution

The fourth proportional to 595.63, 822.09 and 362.80 is: 500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 822.09 = 362.80 : x
  2. Step 2: Convert to fraction form
    595.63/822.09 = 362.80/x
  3. Step 3: Cross multiply
    595.63x = 822.09 × 362.80
  4. Step 4: Simplify right side
    595.63x = 298,254.25
  5. Step 5: Solve for x
    x = 298,254.25/595.63
  6. Step 6: Final answer
    x = 500.74

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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.