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Finding the Fourth Proportional to 707.59, 976.37 and 404.74

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Solution

The fourth proportional to 707.59, 976.37 and 404.74 is: 558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 976.37 = 404.74 : x
  2. Step 2: Convert to fraction form
    707.59/976.37 = 404.74/x
  3. Step 3: Cross multiply
    707.59x = 976.37 × 404.74
  4. Step 4: Simplify right side
    707.59x = 395,173.97
  5. Step 5: Solve for x
    x = 395,173.97/707.59
  6. Step 6: Final answer
    x = 558.48

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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.