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Finding the Fourth Proportional to 469.26, 703.71 and 209.16

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Solution

The fourth proportional to 469.26, 703.71 and 209.16 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.26 : 703.71 = 209.16 : x
  2. Step 2: Convert to fraction form
    469.26/703.71 = 209.16/x
  3. Step 3: Cross multiply
    469.26x = 703.71 × 209.16
  4. Step 4: Simplify right side
    469.26x = 147,187.98
  5. Step 5: Solve for x
    x = 147,187.98/469.26
  6. Step 6: Final answer
    x = 313.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.