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Finding the Fourth Proportional to 703.36, 970.68 and 392.86

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Solution

The fourth proportional to 703.36, 970.68 and 392.86 is: 542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.36 : 970.68 = 392.86 : x
  2. Step 2: Convert to fraction form
    703.36/970.68 = 392.86/x
  3. Step 3: Cross multiply
    703.36x = 970.68 × 392.86
  4. Step 4: Simplify right side
    703.36x = 381,341.34
  5. Step 5: Solve for x
    x = 381,341.34/703.36
  6. Step 6: Final answer
    x = 542.17

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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.