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Finding the Fourth Proportional to 530.82, 732.11 and 364.97

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Solution

The fourth proportional to 530.82, 732.11 and 364.97 is: 503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 732.11 = 364.97 : x
  2. Step 2: Convert to fraction form
    530.82/732.11 = 364.97/x
  3. Step 3: Cross multiply
    530.82x = 732.11 × 364.97
  4. Step 4: Simplify right side
    530.82x = 267,198.19
  5. Step 5: Solve for x
    x = 267,198.19/530.82
  6. Step 6: Final answer
    x = 503.37

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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.