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Finding the Fourth Proportional to 595.82, 823.14 and 476.44

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Solution

The fourth proportional to 595.82, 823.14 and 476.44 is: 658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.82 : 823.14 = 476.44 : x
  2. Step 2: Convert to fraction form
    595.82/823.14 = 476.44/x
  3. Step 3: Cross multiply
    595.82x = 823.14 × 476.44
  4. Step 4: Simplify right side
    595.82x = 392,176.82
  5. Step 5: Solve for x
    x = 392,176.82/595.82
  6. Step 6: Final answer
    x = 658.21

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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.