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Finding the Fourth Proportional to 346.94, 478.77 and 216.02

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Solution

The fourth proportional to 346.94, 478.77 and 216.02 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.94 : 478.77 = 216.02 : x
  2. Step 2: Convert to fraction form
    346.94/478.77 = 216.02/x
  3. Step 3: Cross multiply
    346.94x = 478.77 × 216.02
  4. Step 4: Simplify right side
    346.94x = 103,423.90
  5. Step 5: Solve for x
    x = 103,423.90/346.94
  6. Step 6: Final answer
    x = 298.10

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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.