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Finding the Fourth Proportional to 595.26, 821.85 and 362.78

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Solution

The fourth proportional to 595.26, 821.85 and 362.78 is: 500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 821.85 = 362.78 : x
  2. Step 2: Convert to fraction form
    595.26/821.85 = 362.78/x
  3. Step 3: Cross multiply
    595.26x = 821.85 × 362.78
  4. Step 4: Simplify right side
    595.26x = 298,150.74
  5. Step 5: Solve for x
    x = 298,150.74/595.26
  6. Step 6: Final answer
    x = 500.87

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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.