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Finding the Fourth Proportional to 364.16, 546.24 and 338.24

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Solution

The fourth proportional to 364.16, 546.24 and 338.24 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 546.24 = 338.24 : x
  2. Step 2: Convert to fraction form
    364.16/546.24 = 338.24/x
  3. Step 3: Cross multiply
    364.16x = 546.24 × 338.24
  4. Step 4: Simplify right side
    364.16x = 184,760.22
  5. Step 5: Solve for x
    x = 184,760.22/364.16
  6. Step 6: Final answer
    x = 507.36

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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.