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Finding the Fourth Proportional to 575.60, 863.08 and 228.58

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Solution

The fourth proportional to 575.60, 863.08 and 228.58 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.60 : 863.08 = 228.58 : x
  2. Step 2: Convert to fraction form
    575.60/863.08 = 228.58/x
  3. Step 3: Cross multiply
    575.60x = 863.08 × 228.58
  4. Step 4: Simplify right side
    575.60x = 197,282.83
  5. Step 5: Solve for x
    x = 197,282.83/575.60
  6. Step 6: Final answer
    x = 342.74

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Why These Related Problems?

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