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Finding the Fourth Proportional to 595.60, 822.32 and 374.56

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Solution

The fourth proportional to 595.60, 822.32 and 374.56 is: 517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 822.32 = 374.56 : x
  2. Step 2: Convert to fraction form
    595.60/822.32 = 374.56/x
  3. Step 3: Cross multiply
    595.60x = 822.32 × 374.56
  4. Step 4: Simplify right side
    595.60x = 308,008.18
  5. Step 5: Solve for x
    x = 308,008.18/595.60
  6. Step 6: Final answer
    x = 517.14

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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.