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Finding the Fourth Proportional to 466.50, 700.91 and 302.07

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Solution

The fourth proportional to 466.50, 700.91 and 302.07 is: 453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 700.91 = 302.07 : x
  2. Step 2: Convert to fraction form
    466.50/700.91 = 302.07/x
  3. Step 3: Cross multiply
    466.50x = 700.91 × 302.07
  4. Step 4: Simplify right side
    466.50x = 211,723.88
  5. Step 5: Solve for x
    x = 211,723.88/466.50
  6. Step 6: Final answer
    x = 453.86

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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.