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Finding the Fourth Proportional to 595.87, 821.54 and 385.68

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Solution

The fourth proportional to 595.87, 821.54 and 385.68 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.87 : 821.54 = 385.68 : x
  2. Step 2: Convert to fraction form
    595.87/821.54 = 385.68/x
  3. Step 3: Cross multiply
    595.87x = 821.54 × 385.68
  4. Step 4: Simplify right side
    595.87x = 316,847.44
  5. Step 5: Solve for x
    x = 316,847.44/595.87
  6. Step 6: Final answer
    x = 531.74

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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.