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Finding the Fourth Proportional to 503.08, 753.52 and 228.76

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Solution

The fourth proportional to 503.08, 753.52 and 228.76 is: 342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 753.52 = 228.76 : x
  2. Step 2: Convert to fraction form
    503.08/753.52 = 228.76/x
  3. Step 3: Cross multiply
    503.08x = 753.52 × 228.76
  4. Step 4: Simplify right side
    503.08x = 172,375.24
  5. Step 5: Solve for x
    x = 172,375.24/503.08
  6. Step 6: Final answer
    x = 342.64

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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.