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Finding the Fourth Proportional to 345.94, 477.60 and 229.70

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Solution

The fourth proportional to 345.94, 477.60 and 229.70 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 477.60 = 229.70 : x
  2. Step 2: Convert to fraction form
    345.94/477.60 = 229.70/x
  3. Step 3: Cross multiply
    345.94x = 477.60 × 229.70
  4. Step 4: Simplify right side
    345.94x = 109,705.05
  5. Step 5: Solve for x
    x = 109,705.05/345.94
  6. Step 6: Final answer
    x = 317.12

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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.