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Finding the Fourth Proportional to 347.96, 479.74 and 285.76

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Solution

The fourth proportional to 347.96, 479.74 and 285.76 is: 393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.96 : 479.74 = 285.76 : x
  2. Step 2: Convert to fraction form
    347.96/479.74 = 285.76/x
  3. Step 3: Cross multiply
    347.96x = 479.74 × 285.76
  4. Step 4: Simplify right side
    347.96x = 137,090.50
  5. Step 5: Solve for x
    x = 137,090.50/347.96
  6. Step 6: Final answer
    x = 393.98

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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.