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Finding the Fourth Proportional to 347.32, 478.94 and 285.24

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Solution

The fourth proportional to 347.32, 478.94 and 285.24 is: 393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.32 : 478.94 = 285.24 : x
  2. Step 2: Convert to fraction form
    347.32/478.94 = 285.24/x
  3. Step 3: Cross multiply
    347.32x = 478.94 × 285.24
  4. Step 4: Simplify right side
    347.32x = 136,612.85
  5. Step 5: Solve for x
    x = 136,612.85/347.32
  6. Step 6: Final answer
    x = 393.33

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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.