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Finding the Fourth Proportional to 340.77, 469.94 and 228.99

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Solution

The fourth proportional to 340.77, 469.94 and 228.99 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.77 : 469.94 = 228.99 : x
  2. Step 2: Convert to fraction form
    340.77/469.94 = 228.99/x
  3. Step 3: Cross multiply
    340.77x = 469.94 × 228.99
  4. Step 4: Simplify right side
    340.77x = 107,612.13
  5. Step 5: Solve for x
    x = 107,612.13/340.77
  6. Step 6: Final answer
    x = 315.79

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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.