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Finding the Fourth Proportional to 703.35, 970.62 and 392.85

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Solution

The fourth proportional to 703.35, 970.62 and 392.85 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.35 : 970.62 = 392.85 : x
  2. Step 2: Convert to fraction form
    703.35/970.62 = 392.85/x
  3. Step 3: Cross multiply
    703.35x = 970.62 × 392.85
  4. Step 4: Simplify right side
    703.35x = 381,301.25
  5. Step 5: Solve for x
    x = 381,301.25/703.35
  6. Step 6: Final answer
    x = 542.13

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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.