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Finding the Fourth Proportional to 606.46, 914.57 and 598.26

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Solution

The fourth proportional to 606.46, 914.57 and 598.26 is: 902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 914.57 = 598.26 : x
  2. Step 2: Convert to fraction form
    606.46/914.57 = 598.26/x
  3. Step 3: Cross multiply
    606.46x = 914.57 × 598.26
  4. Step 4: Simplify right side
    606.46x = 547,149.08
  5. Step 5: Solve for x
    x = 547,149.08/606.46
  6. Step 6: Final answer
    x = 902.20

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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.