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Finding the Fourth Proportional to 375.27, 517.98 and 228.00

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Solution

The fourth proportional to 375.27, 517.98 and 228.00 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.27 : 517.98 = 228.00 : x
  2. Step 2: Convert to fraction form
    375.27/517.98 = 228.00/x
  3. Step 3: Cross multiply
    375.27x = 517.98 × 228.00
  4. Step 4: Simplify right side
    375.27x = 118,102.24
  5. Step 5: Solve for x
    x = 118,102.24/375.27
  6. Step 6: Final answer
    x = 314.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.