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Finding the Fourth Proportional to 356.25, 533.85 and 312.81

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Solution

The fourth proportional to 356.25, 533.85 and 312.81 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.25 : 533.85 = 312.81 : x
  2. Step 2: Convert to fraction form
    356.25/533.85 = 312.81/x
  3. Step 3: Cross multiply
    356.25x = 533.85 × 312.81
  4. Step 4: Simplify right side
    356.25x = 166,993.62
  5. Step 5: Solve for x
    x = 166,993.62/356.25
  6. Step 6: Final answer
    x = 468.75

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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.