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Finding the Fourth Proportional to 310.32, 466.56 and 286.56

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Solution

The fourth proportional to 310.32, 466.56 and 286.56 is: 430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 466.56 = 286.56 : x
  2. Step 2: Convert to fraction form
    310.32/466.56 = 286.56/x
  3. Step 3: Cross multiply
    310.32x = 466.56 × 286.56
  4. Step 4: Simplify right side
    310.32x = 133,697.43
  5. Step 5: Solve for x
    x = 133,697.43/310.32
  6. Step 6: Final answer
    x = 430.84

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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.