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Finding the Fourth Proportional to 595.70, 821.82 and 347

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Solution

The fourth proportional to 595.70, 821.82 and 347 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.70 : 821.82 = 347 : x
  2. Step 2: Convert to fraction form
    595.70/821.82 = 347/x
  3. Step 3: Cross multiply
    595.70x = 821.82 × 347
  4. Step 4: Simplify right side
    595.70x = 285,171.54
  5. Step 5: Solve for x
    x = 285,171.54/595.70
  6. Step 6: Final answer
    x = 478.72

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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.