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Finding the Fourth Proportional to 598.72, 902.26 and 562.24

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Solution

The fourth proportional to 598.72, 902.26 and 562.24 is: 847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.72 : 902.26 = 562.24 : x
  2. Step 2: Convert to fraction form
    598.72/902.26 = 562.24/x
  3. Step 3: Cross multiply
    598.72x = 902.26 × 562.24
  4. Step 4: Simplify right side
    598.72x = 507,286.66
  5. Step 5: Solve for x
    x = 507,286.66/598.72
  6. Step 6: Final answer
    x = 847.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.