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Finding the Fourth Proportional to 703.77, 970.95 and 409.02

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Solution

The fourth proportional to 703.77, 970.95 and 409.02 is: 564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.77 : 970.95 = 409.02 : x
  2. Step 2: Convert to fraction form
    703.77/970.95 = 409.02/x
  3. Step 3: Cross multiply
    703.77x = 970.95 × 409.02
  4. Step 4: Simplify right side
    703.77x = 397,137.97
  5. Step 5: Solve for x
    x = 397,137.97/703.77
  6. Step 6: Final answer
    x = 564.30

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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.