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Finding the Fourth Proportional to 530.26, 791.49 and 493.12

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Solution

The fourth proportional to 530.26, 791.49 and 493.12 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.26 : 791.49 = 493.12 : x
  2. Step 2: Convert to fraction form
    530.26/791.49 = 493.12/x
  3. Step 3: Cross multiply
    530.26x = 791.49 × 493.12
  4. Step 4: Simplify right side
    530.26x = 390,295.10
  5. Step 5: Solve for x
    x = 390,295.10/530.26
  6. Step 6: Final answer
    x = 736.05

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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.