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Finding the Fourth Proportional to 304.32, 456.08 and 288.16

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Solution

The fourth proportional to 304.32, 456.08 and 288.16 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 456.08 = 288.16 : x
  2. Step 2: Convert to fraction form
    304.32/456.08 = 288.16/x
  3. Step 3: Cross multiply
    304.32x = 456.08 × 288.16
  4. Step 4: Simplify right side
    304.32x = 131,424.01
  5. Step 5: Solve for x
    x = 131,424.01/304.32
  6. Step 6: Final answer
    x = 431.86

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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.