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Finding the Fourth Proportional to 467.44, 700.18 and 304.64

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Solution

The fourth proportional to 467.44, 700.18 and 304.64 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 700.18 = 304.64 : x
  2. Step 2: Convert to fraction form
    467.44/700.18 = 304.64/x
  3. Step 3: Cross multiply
    467.44x = 700.18 × 304.64
  4. Step 4: Simplify right side
    467.44x = 213,302.84
  5. Step 5: Solve for x
    x = 213,302.84/467.44
  6. Step 6: Final answer
    x = 456.32

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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.