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Finding the Fourth Proportional to 530.45, 791.88 and 461.27

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Solution

The fourth proportional to 530.45, 791.88 and 461.27 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.45 : 791.88 = 461.27 : x
  2. Step 2: Convert to fraction form
    530.45/791.88 = 461.27/x
  3. Step 3: Cross multiply
    530.45x = 791.88 × 461.27
  4. Step 4: Simplify right side
    530.45x = 365,266.53
  5. Step 5: Solve for x
    x = 365,266.53/530.45
  6. Step 6: Final answer
    x = 688.60

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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.