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Finding the Fourth Proportional to 352.08, 485.64 and 264.78

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Solution

The fourth proportional to 352.08, 485.64 and 264.78 is: 365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 485.64 = 264.78 : x
  2. Step 2: Convert to fraction form
    352.08/485.64 = 264.78/x
  3. Step 3: Cross multiply
    352.08x = 485.64 × 264.78
  4. Step 4: Simplify right side
    352.08x = 128,587.76
  5. Step 5: Solve for x
    x = 128,587.76/352.08
  6. Step 6: Final answer
    x = 365.22

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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.