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Finding the Fourth Proportional to 304.51, 456.75 and 201.77

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Solution

The fourth proportional to 304.51, 456.75 and 201.77 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 456.75 = 201.77 : x
  2. Step 2: Convert to fraction form
    304.51/456.75 = 201.77/x
  3. Step 3: Cross multiply
    304.51x = 456.75 × 201.77
  4. Step 4: Simplify right side
    304.51x = 92,158.45
  5. Step 5: Solve for x
    x = 92,158.45/304.51
  6. Step 6: Final answer
    x = 302.65

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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.