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Finding the Fourth Proportional to 595.20, 821.00 and 385.29

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Solution

The fourth proportional to 595.20, 821.00 and 385.29 is: 531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.20 : 821.00 = 385.29 : x
  2. Step 2: Convert to fraction form
    595.20/821.00 = 385.29/x
  3. Step 3: Cross multiply
    595.20x = 821.00 × 385.29
  4. Step 4: Simplify right side
    595.20x = 316,321.16
  5. Step 5: Solve for x
    x = 316,321.16/595.20
  6. Step 6: Final answer
    x = 531.45

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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.