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Finding the Fourth Proportional to 697.88, 962.42 and 476.40

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Solution

The fourth proportional to 697.88, 962.42 and 476.40 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 962.42 = 476.40 : x
  2. Step 2: Convert to fraction form
    697.88/962.42 = 476.40/x
  3. Step 3: Cross multiply
    697.88x = 962.42 × 476.40
  4. Step 4: Simplify right side
    697.88x = 458,496.89
  5. Step 5: Solve for x
    x = 458,496.89/697.88
  6. Step 6: Final answer
    x = 656.99

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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.