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Finding the Fourth Proportional to 304.71, 456.24 and 285.48

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Solution

The fourth proportional to 304.71, 456.24 and 285.48 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 456.24 = 285.48 : x
  2. Step 2: Convert to fraction form
    304.71/456.24 = 285.48/x
  3. Step 3: Cross multiply
    304.71x = 456.24 × 285.48
  4. Step 4: Simplify right side
    304.71x = 130,247.40
  5. Step 5: Solve for x
    x = 130,247.40/304.71
  6. Step 6: Final answer
    x = 427.45

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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.