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Finding the Fourth Proportional to 580.58, 800.04 and 493.10

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Solution

The fourth proportional to 580.58, 800.04 and 493.10 is: 679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.58 : 800.04 = 493.10 : x
  2. Step 2: Convert to fraction form
    580.58/800.04 = 493.10/x
  3. Step 3: Cross multiply
    580.58x = 800.04 × 493.10
  4. Step 4: Simplify right side
    580.58x = 394,499.72
  5. Step 5: Solve for x
    x = 394,499.72/580.58
  6. Step 6: Final answer
    x = 679.49

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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.