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Finding the Fourth Proportional to 707.59, 976.17 and 445.42

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Solution

The fourth proportional to 707.59, 976.17 and 445.42 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 976.17 = 445.42 : x
  2. Step 2: Convert to fraction form
    707.59/976.17 = 445.42/x
  3. Step 3: Cross multiply
    707.59x = 976.17 × 445.42
  4. Step 4: Simplify right side
    707.59x = 434,805.64
  5. Step 5: Solve for x
    x = 434,805.64/707.59
  6. Step 6: Final answer
    x = 614.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.