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Finding the Fourth Proportional to 347.36, 478.71 and 284.99

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Solution

The fourth proportional to 347.36, 478.71 and 284.99 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.36 : 478.71 = 284.99 : x
  2. Step 2: Convert to fraction form
    347.36/478.71 = 284.99/x
  3. Step 3: Cross multiply
    347.36x = 478.71 × 284.99
  4. Step 4: Simplify right side
    347.36x = 136,425.17
  5. Step 5: Solve for x
    x = 136,425.17/347.36
  6. Step 6: Final answer
    x = 392.75

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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.