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Finding the Fourth Proportional to 467.04, 698.96 and 304.32

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Solution

The fourth proportional to 467.04, 698.96 and 304.32 is: 455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 698.96 = 304.32 : x
  2. Step 2: Convert to fraction form
    467.04/698.96 = 304.32/x
  3. Step 3: Cross multiply
    467.04x = 698.96 × 304.32
  4. Step 4: Simplify right side
    467.04x = 212,707.51
  5. Step 5: Solve for x
    x = 212,707.51/467.04
  6. Step 6: Final answer
    x = 455.44

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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.