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Finding the Fourth Proportional to 309.76, 464.74 and 287.28

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Solution

The fourth proportional to 309.76, 464.74 and 287.28 is: 431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.74 = 287.28 : x
  2. Step 2: Convert to fraction form
    309.76/464.74 = 287.28/x
  3. Step 3: Cross multiply
    309.76x = 464.74 × 287.28
  4. Step 4: Simplify right side
    309.76x = 133,510.51
  5. Step 5: Solve for x
    x = 133,510.51/309.76
  6. Step 6: Final answer
    x = 431.01

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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.