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Finding the Fourth Proportional to 580.13, 800.16 and 370.12

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Solution

The fourth proportional to 580.13, 800.16 and 370.12 is: 510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 800.16 = 370.12 : x
  2. Step 2: Convert to fraction form
    580.13/800.16 = 370.12/x
  3. Step 3: Cross multiply
    580.13x = 800.16 × 370.12
  4. Step 4: Simplify right side
    580.13x = 296,155.22
  5. Step 5: Solve for x
    x = 296,155.22/580.13
  6. Step 6: Final answer
    x = 510.50

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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.