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Finding the Fourth Proportional to 703.28, 970.48 and 392.72

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Solution

The fourth proportional to 703.28, 970.48 and 392.72 is: 541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.28 : 970.48 = 392.72 : x
  2. Step 2: Convert to fraction form
    703.28/970.48 = 392.72/x
  3. Step 3: Cross multiply
    703.28x = 970.48 × 392.72
  4. Step 4: Simplify right side
    703.28x = 381,126.91
  5. Step 5: Solve for x
    x = 381,126.91/703.28
  6. Step 6: Final answer
    x = 541.93

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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.