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Finding the Fourth Proportional to 703.68, 970.89 and 409.02

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Solution

The fourth proportional to 703.68, 970.89 and 409.02 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 970.89 = 409.02 : x
  2. Step 2: Convert to fraction form
    703.68/970.89 = 409.02/x
  3. Step 3: Cross multiply
    703.68x = 970.89 × 409.02
  4. Step 4: Simplify right side
    703.68x = 397,113.43
  5. Step 5: Solve for x
    x = 397,113.43/703.68
  6. Step 6: Final answer
    x = 564.34

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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.