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Finding the Fourth Proportional to 595.62, 822.58 and 496.42

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Solution

The fourth proportional to 595.62, 822.58 and 496.42 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.62 : 822.58 = 496.42 : x
  2. Step 2: Convert to fraction form
    595.62/822.58 = 496.42/x
  3. Step 3: Cross multiply
    595.62x = 822.58 × 496.42
  4. Step 4: Simplify right side
    595.62x = 408,345.16
  5. Step 5: Solve for x
    x = 408,345.16/595.62
  6. Step 6: Final answer
    x = 685.58

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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.