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Finding the Fourth Proportional to 613.02, 924.11 and 588.30

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Solution

The fourth proportional to 613.02, 924.11 and 588.30 is: 886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 924.11 = 588.30 : x
  2. Step 2: Convert to fraction form
    613.02/924.11 = 588.30/x
  3. Step 3: Cross multiply
    613.02x = 924.11 × 588.30
  4. Step 4: Simplify right side
    613.02x = 543,650.97
  5. Step 5: Solve for x
    x = 543,650.97/613.02
  6. Step 6: Final answer
    x = 886.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.