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Finding the Fourth Proportional to 697.06, 962.06 and 402.26

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Solution

The fourth proportional to 697.06, 962.06 and 402.26 is: 555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 962.06 = 402.26 : x
  2. Step 2: Convert to fraction form
    697.06/962.06 = 402.26/x
  3. Step 3: Cross multiply
    697.06x = 962.06 × 402.26
  4. Step 4: Simplify right side
    697.06x = 386,998.26
  5. Step 5: Solve for x
    x = 386,998.26/697.06
  6. Step 6: Final answer
    x = 555.19

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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.