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Finding the Fourth Proportional to 703.09, 970.31 and 404.43

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Solution

The fourth proportional to 703.09, 970.31 and 404.43 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.09 : 970.31 = 404.43 : x
  2. Step 2: Convert to fraction form
    703.09/970.31 = 404.43/x
  3. Step 3: Cross multiply
    703.09x = 970.31 × 404.43
  4. Step 4: Simplify right side
    703.09x = 392,420.45
  5. Step 5: Solve for x
    x = 392,420.45/703.09
  6. Step 6: Final answer
    x = 558.14

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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.