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Finding the Fourth Proportional to 346.48, 478.36 and 215.52

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Solution

The fourth proportional to 346.48, 478.36 and 215.52 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 478.36 = 215.52 : x
  2. Step 2: Convert to fraction form
    346.48/478.36 = 215.52/x
  3. Step 3: Cross multiply
    346.48x = 478.36 × 215.52
  4. Step 4: Simplify right side
    346.48x = 103,096.15
  5. Step 5: Solve for x
    x = 103,096.15/346.48
  6. Step 6: Final answer
    x = 297.55

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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.