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Finding the Fourth Proportional to 469.55, 703.62 and 209.49

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Solution

The fourth proportional to 469.55, 703.62 and 209.49 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 703.62 = 209.49 : x
  2. Step 2: Convert to fraction form
    469.55/703.62 = 209.49/x
  3. Step 3: Cross multiply
    469.55x = 703.62 × 209.49
  4. Step 4: Simplify right side
    469.55x = 147,401.35
  5. Step 5: Solve for x
    x = 147,401.35/469.55
  6. Step 6: Final answer
    x = 313.92

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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.