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Finding the Fourth Proportional to 467.48, 700.32 and 294.32

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Solution

The fourth proportional to 467.48, 700.32 and 294.32 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.48 : 700.32 = 294.32 : x
  2. Step 2: Convert to fraction form
    467.48/700.32 = 294.32/x
  3. Step 3: Cross multiply
    467.48x = 700.32 × 294.32
  4. Step 4: Simplify right side
    467.48x = 206,118.18
  5. Step 5: Solve for x
    x = 206,118.18/467.48
  6. Step 6: Final answer
    x = 440.91

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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.