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Finding the Fourth Proportional to 703.46, 970.76 and 404.75

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Solution

The fourth proportional to 703.46, 970.76 and 404.75 is: 558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.46 : 970.76 = 404.75 : x
  2. Step 2: Convert to fraction form
    703.46/970.76 = 404.75/x
  3. Step 3: Cross multiply
    703.46x = 970.76 × 404.75
  4. Step 4: Simplify right side
    703.46x = 392,908.23
  5. Step 5: Solve for x
    x = 392,908.23/703.46
  6. Step 6: Final answer
    x = 558.54

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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.