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Finding the Fourth Proportional to 365.04, 546.30 and 228.12

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Solution

The fourth proportional to 365.04, 546.30 and 228.12 is: 341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 546.30 = 228.12 : x
  2. Step 2: Convert to fraction form
    365.04/546.30 = 228.12/x
  3. Step 3: Cross multiply
    365.04x = 546.30 × 228.12
  4. Step 4: Simplify right side
    365.04x = 124,621.96
  5. Step 5: Solve for x
    x = 124,621.96/365.04
  6. Step 6: Final answer
    x = 341.39

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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.