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Finding the Fourth Proportional to 303.54, 417.82 and 264.66

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Solution

The fourth proportional to 303.54, 417.82 and 264.66 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.54 : 417.82 = 264.66 : x
  2. Step 2: Convert to fraction form
    303.54/417.82 = 264.66/x
  3. Step 3: Cross multiply
    303.54x = 417.82 × 264.66
  4. Step 4: Simplify right side
    303.54x = 110,580.24
  5. Step 5: Solve for x
    x = 110,580.24/303.54
  6. Step 6: Final answer
    x = 364.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.