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Finding the Fourth Proportional to 580, 800.58 and 425.20

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Solution

The fourth proportional to 580, 800.58 and 425.20 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 800.58 = 425.20 : x
  2. Step 2: Convert to fraction form
    580/800.58 = 425.20/x
  3. Step 3: Cross multiply
    580x = 800.58 × 425.20
  4. Step 4: Simplify right side
    580x = 340,406.62
  5. Step 5: Solve for x
    x = 340,406.62/580
  6. Step 6: Final answer
    x = 586.91

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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.