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Finding the Fourth Proportional to 697.13, 962.06 and 435

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Solution

The fourth proportional to 697.13, 962.06 and 435 is: 600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 962.06 = 435 : x
  2. Step 2: Convert to fraction form
    697.13/962.06 = 435/x
  3. Step 3: Cross multiply
    697.13x = 962.06 × 435
  4. Step 4: Simplify right side
    697.13x = 418,493.93
  5. Step 5: Solve for x
    x = 418,493.93/697.13
  6. Step 6: Final answer
    x = 600.31

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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.