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Finding the Fourth Proportional to 606.60, 836.64 and 466.50

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Solution

The fourth proportional to 606.60, 836.64 and 466.50 is: 643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.60 : 836.64 = 466.50 : x
  2. Step 2: Convert to fraction form
    606.60/836.64 = 466.50/x
  3. Step 3: Cross multiply
    606.60x = 836.64 × 466.50
  4. Step 4: Simplify right side
    606.60x = 390,292.56
  5. Step 5: Solve for x
    x = 390,292.56/606.60
  6. Step 6: Final answer
    x = 643.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.