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Finding the Fourth Proportional to 580.07, 800.28 and 370.25

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Solution

The fourth proportional to 580.07, 800.28 and 370.25 is: 510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 800.28 = 370.25 : x
  2. Step 2: Convert to fraction form
    580.07/800.28 = 370.25/x
  3. Step 3: Cross multiply
    580.07x = 800.28 × 370.25
  4. Step 4: Simplify right side
    580.07x = 296,303.82
  5. Step 5: Solve for x
    x = 296,303.82/580.07
  6. Step 6: Final answer
    x = 510.81

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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.