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Finding the Fourth Proportional to 310.37, 464.63 and 297

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Solution

The fourth proportional to 310.37, 464.63 and 297 is: 444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 464.63 = 297 : x
  2. Step 2: Convert to fraction form
    310.37/464.63 = 297/x
  3. Step 3: Cross multiply
    310.37x = 464.63 × 297
  4. Step 4: Simplify right side
    310.37x = 137,993.63
  5. Step 5: Solve for x
    x = 137,993.63/310.37
  6. Step 6: Final answer
    x = 444.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.