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Finding the Fourth Proportional to 310.32, 465.44 and 255.60

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Solution

The fourth proportional to 310.32, 465.44 and 255.60 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 465.44 = 255.60 : x
  2. Step 2: Convert to fraction form
    310.32/465.44 = 255.60/x
  3. Step 3: Cross multiply
    310.32x = 465.44 × 255.60
  4. Step 4: Simplify right side
    310.32x = 118,966.46
  5. Step 5: Solve for x
    x = 118,966.46/310.32
  6. Step 6: Final answer
    x = 383.37

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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.