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Finding the Fourth Proportional to 364.08, 542.24 and 354.36

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Solution

The fourth proportional to 364.08, 542.24 and 354.36 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 542.24 = 354.36 : x
  2. Step 2: Convert to fraction form
    364.08/542.24 = 354.36/x
  3. Step 3: Cross multiply
    364.08x = 542.24 × 354.36
  4. Step 4: Simplify right side
    364.08x = 192,146.39
  5. Step 5: Solve for x
    x = 192,146.39/364.08
  6. Step 6: Final answer
    x = 527.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.