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Finding the Fourth Proportional to 700.68, 967.01 and 477.11

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Solution

The fourth proportional to 700.68, 967.01 and 477.11 is: 658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.68 : 967.01 = 477.11 : x
  2. Step 2: Convert to fraction form
    700.68/967.01 = 477.11/x
  3. Step 3: Cross multiply
    700.68x = 967.01 × 477.11
  4. Step 4: Simplify right side
    700.68x = 461,364.73
  5. Step 5: Solve for x
    x = 461,364.73/700.68
  6. Step 6: Final answer
    x = 658.45

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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.