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Finding the Fourth Proportional to 466.48, 700.74 and 404.96

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Solution

The fourth proportional to 466.48, 700.74 and 404.96 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 700.74 = 404.96 : x
  2. Step 2: Convert to fraction form
    466.48/700.74 = 404.96/x
  3. Step 3: Cross multiply
    466.48x = 700.74 × 404.96
  4. Step 4: Simplify right side
    466.48x = 283,771.67
  5. Step 5: Solve for x
    x = 283,771.67/466.48
  6. Step 6: Final answer
    x = 608.33

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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.