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Finding the Fourth Proportional to 704.09, 970.79 and 482.76

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Solution

The fourth proportional to 704.09, 970.79 and 482.76 is: 665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.09 : 970.79 = 482.76 : x
  2. Step 2: Convert to fraction form
    704.09/970.79 = 482.76/x
  3. Step 3: Cross multiply
    704.09x = 970.79 × 482.76
  4. Step 4: Simplify right side
    704.09x = 468,656.17
  5. Step 5: Solve for x
    x = 468,656.17/704.09
  6. Step 6: Final answer
    x = 665.62

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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.