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Finding the Fourth Proportional to 595.14, 822.33 and 491.46

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Solution

The fourth proportional to 595.14, 822.33 and 491.46 is: 679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.14 : 822.33 = 491.46 : x
  2. Step 2: Convert to fraction form
    595.14/822.33 = 491.46/x
  3. Step 3: Cross multiply
    595.14x = 822.33 × 491.46
  4. Step 4: Simplify right side
    595.14x = 404,142.30
  5. Step 5: Solve for x
    x = 404,142.30/595.14
  6. Step 6: Final answer
    x = 679.07

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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.