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Finding the Fourth Proportional to 304.32, 459.24 and 295.20

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Solution

The fourth proportional to 304.32, 459.24 and 295.20 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 459.24 = 295.20 : x
  2. Step 2: Convert to fraction form
    304.32/459.24 = 295.20/x
  3. Step 3: Cross multiply
    304.32x = 459.24 × 295.20
  4. Step 4: Simplify right side
    304.32x = 135,567.65
  5. Step 5: Solve for x
    x = 135,567.65/304.32
  6. Step 6: Final answer
    x = 445.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.