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Finding the Fourth Proportional to 580.16, 800.38 and 358.96

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Solution

The fourth proportional to 580.16, 800.38 and 358.96 is: 495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 800.38 = 358.96 : x
  2. Step 2: Convert to fraction form
    580.16/800.38 = 358.96/x
  3. Step 3: Cross multiply
    580.16x = 800.38 × 358.96
  4. Step 4: Simplify right side
    580.16x = 287,302.10
  5. Step 5: Solve for x
    x = 287,302.10/580.16
  6. Step 6: Final answer
    x = 495.21

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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.