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Finding the Fourth Proportional to 304.86, 456.24 and 256.16

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Solution

The fourth proportional to 304.86, 456.24 and 256.16 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 456.24 = 256.16 : x
  2. Step 2: Convert to fraction form
    304.86/456.24 = 256.16/x
  3. Step 3: Cross multiply
    304.86x = 456.24 × 256.16
  4. Step 4: Simplify right side
    304.86x = 116,868.16
  5. Step 5: Solve for x
    x = 116,868.16/304.86
  6. Step 6: Final answer
    x = 383.35

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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.