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Finding the Fourth Proportional to 703.08, 970.29 and 482.13

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Solution

The fourth proportional to 703.08, 970.29 and 482.13 is: 665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.08 : 970.29 = 482.13 : x
  2. Step 2: Convert to fraction form
    703.08/970.29 = 482.13/x
  3. Step 3: Cross multiply
    703.08x = 970.29 × 482.13
  4. Step 4: Simplify right side
    703.08x = 467,805.92
  5. Step 5: Solve for x
    x = 467,805.92/703.08
  6. Step 6: Final answer
    x = 665.37

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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.