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Finding the Fourth Proportional to 304.70, 456.88 and 96.40

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Solution

The fourth proportional to 304.70, 456.88 and 96.40 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 456.88 = 96.40 : x
  2. Step 2: Convert to fraction form
    304.70/456.88 = 96.40/x
  3. Step 3: Cross multiply
    304.70x = 456.88 × 96.40
  4. Step 4: Simplify right side
    304.70x = 44,043.23
  5. Step 5: Solve for x
    x = 44,043.23/304.70
  6. Step 6: Final answer
    x = 144.55

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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.