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Finding the Fourth Proportional to 353.80, 488.64 and 336.52

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Solution

The fourth proportional to 353.80, 488.64 and 336.52 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.80 : 488.64 = 336.52 : x
  2. Step 2: Convert to fraction form
    353.80/488.64 = 336.52/x
  3. Step 3: Cross multiply
    353.80x = 488.64 × 336.52
  4. Step 4: Simplify right side
    353.80x = 164,437.13
  5. Step 5: Solve for x
    x = 164,437.13/353.80
  6. Step 6: Final answer
    x = 464.77

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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.