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Finding the Fourth Proportional to 469.01, 703.36 and 209

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Solution

The fourth proportional to 469.01, 703.36 and 209 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.01 : 703.36 = 209 : x
  2. Step 2: Convert to fraction form
    469.01/703.36 = 209/x
  3. Step 3: Cross multiply
    469.01x = 703.36 × 209
  4. Step 4: Simplify right side
    469.01x = 147,002.24
  5. Step 5: Solve for x
    x = 147,002.24/469.01
  6. Step 6: Final answer
    x = 313.43

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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.