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Finding the Fourth Proportional to 580.07, 800.24 and 358.94

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Solution

The fourth proportional to 580.07, 800.24 and 358.94 is: 495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 800.24 = 358.94 : x
  2. Step 2: Convert to fraction form
    580.07/800.24 = 358.94/x
  3. Step 3: Cross multiply
    580.07x = 800.24 × 358.94
  4. Step 4: Simplify right side
    580.07x = 287,232.35
  5. Step 5: Solve for x
    x = 287,232.35/580.07
  6. Step 6: Final answer
    x = 495.17

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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.