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Finding the Fourth Proportional to 575.10, 863.06 and 228.51

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Solution

The fourth proportional to 575.10, 863.06 and 228.51 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.10 : 863.06 = 228.51 : x
  2. Step 2: Convert to fraction form
    575.10/863.06 = 228.51/x
  3. Step 3: Cross multiply
    575.10x = 863.06 × 228.51
  4. Step 4: Simplify right side
    575.10x = 197,217.84
  5. Step 5: Solve for x
    x = 197,217.84/575.10
  6. Step 6: Final answer
    x = 342.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.