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Finding the Fourth Proportional to 580.02, 800.44 and 370.01

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Solution

The fourth proportional to 580.02, 800.44 and 370.01 is: 510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 800.44 = 370.01 : x
  2. Step 2: Convert to fraction form
    580.02/800.44 = 370.01/x
  3. Step 3: Cross multiply
    580.02x = 800.44 × 370.01
  4. Step 4: Simplify right side
    580.02x = 296,171.88
  5. Step 5: Solve for x
    x = 296,171.88/580.02
  6. Step 6: Final answer
    x = 510.62

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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.