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Finding the Fourth Proportional to 362.95, 546.85 and 314.35

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Solution

The fourth proportional to 362.95, 546.85 and 314.35 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.95 : 546.85 = 314.35 : x
  2. Step 2: Convert to fraction form
    362.95/546.85 = 314.35/x
  3. Step 3: Cross multiply
    362.95x = 546.85 × 314.35
  4. Step 4: Simplify right side
    362.95x = 171,902.30
  5. Step 5: Solve for x
    x = 171,902.30/362.95
  6. Step 6: Final answer
    x = 473.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.