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Finding the Fourth Proportional to 595.73, 821.95 and 374.98

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Solution

The fourth proportional to 595.73, 821.95 and 374.98 is: 517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.73 : 821.95 = 374.98 : x
  2. Step 2: Convert to fraction form
    595.73/821.95 = 374.98/x
  3. Step 3: Cross multiply
    595.73x = 821.95 × 374.98
  4. Step 4: Simplify right side
    595.73x = 308,213.36
  5. Step 5: Solve for x
    x = 308,213.36/595.73
  6. Step 6: Final answer
    x = 517.37

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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.