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Finding the Fourth Proportional to 469.34, 703.43 and 209.04

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Solution

The fourth proportional to 469.34, 703.43 and 209.04 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 703.43 = 209.04 : x
  2. Step 2: Convert to fraction form
    469.34/703.43 = 209.04/x
  3. Step 3: Cross multiply
    469.34x = 703.43 × 209.04
  4. Step 4: Simplify right side
    469.34x = 147,043.96
  5. Step 5: Solve for x
    x = 147,043.96/469.34
  6. Step 6: Final answer
    x = 313.30

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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.