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Finding the Fourth Proportional to 703.16, 970.08 and 408.24

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Solution

The fourth proportional to 703.16, 970.08 and 408.24 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 970.08 = 408.24 : x
  2. Step 2: Convert to fraction form
    703.16/970.08 = 408.24/x
  3. Step 3: Cross multiply
    703.16x = 970.08 × 408.24
  4. Step 4: Simplify right side
    703.16x = 396,025.46
  5. Step 5: Solve for x
    x = 396,025.46/703.16
  6. Step 6: Final answer
    x = 563.21

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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.