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Finding the Fourth Proportional to 467.46, 701.60 and 305.33

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Solution

The fourth proportional to 467.46, 701.60 and 305.33 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 701.60 = 305.33 : x
  2. Step 2: Convert to fraction form
    467.46/701.60 = 305.33/x
  3. Step 3: Cross multiply
    467.46x = 701.60 × 305.33
  4. Step 4: Simplify right side
    467.46x = 214,214.49
  5. Step 5: Solve for x
    x = 214,214.49/467.46
  6. Step 6: Final answer
    x = 458.25

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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.