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Finding the Fourth Proportional to 703.94, 971.16 and 409.10

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Solution

The fourth proportional to 703.94, 971.16 and 409.10 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.94 : 971.16 = 409.10 : x
  2. Step 2: Convert to fraction form
    703.94/971.16 = 409.10/x
  3. Step 3: Cross multiply
    703.94x = 971.16 × 409.10
  4. Step 4: Simplify right side
    703.94x = 397,301.56
  5. Step 5: Solve for x
    x = 397,301.56/703.94
  6. Step 6: Final answer
    x = 564.40

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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.