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Finding the Fourth Proportional to 595.88, 822.39 and 347.21

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Solution

The fourth proportional to 595.88, 822.39 and 347.21 is: 479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.88 : 822.39 = 347.21 : x
  2. Step 2: Convert to fraction form
    595.88/822.39 = 347.21/x
  3. Step 3: Cross multiply
    595.88x = 822.39 × 347.21
  4. Step 4: Simplify right side
    595.88x = 285,542.03
  5. Step 5: Solve for x
    x = 285,542.03/595.88
  6. Step 6: Final answer
    x = 479.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.