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Finding the Fourth Proportional to 595.78, 822.52 and 374.80

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Solution

The fourth proportional to 595.78, 822.52 and 374.80 is: 517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 822.52 = 374.80 : x
  2. Step 2: Convert to fraction form
    595.78/822.52 = 374.80/x
  3. Step 3: Cross multiply
    595.78x = 822.52 × 374.80
  4. Step 4: Simplify right side
    595.78x = 308,280.50
  5. Step 5: Solve for x
    x = 308,280.50/595.78
  6. Step 6: Final answer
    x = 517.44

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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.