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Finding the Fourth Proportional to 606.34, 909.93 and 313.66

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Solution

The fourth proportional to 606.34, 909.93 and 313.66 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.34 : 909.93 = 313.66 : x
  2. Step 2: Convert to fraction form
    606.34/909.93 = 313.66/x
  3. Step 3: Cross multiply
    606.34x = 909.93 × 313.66
  4. Step 4: Simplify right side
    606.34x = 285,408.64
  5. Step 5: Solve for x
    x = 285,408.64/606.34
  6. Step 6: Final answer
    x = 470.71

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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.