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Finding the Fourth Proportional to 466.83, 700.34 and 235.77

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Solution

The fourth proportional to 466.83, 700.34 and 235.77 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.83 : 700.34 = 235.77 : x
  2. Step 2: Convert to fraction form
    466.83/700.34 = 235.77/x
  3. Step 3: Cross multiply
    466.83x = 700.34 × 235.77
  4. Step 4: Simplify right side
    466.83x = 165,119.16
  5. Step 5: Solve for x
    x = 165,119.16/466.83
  6. Step 6: Final answer
    x = 353.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.