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Finding the Fourth Proportional to 356.16, 533.44 and 312.96

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Solution

The fourth proportional to 356.16, 533.44 and 312.96 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 533.44 = 312.96 : x
  2. Step 2: Convert to fraction form
    356.16/533.44 = 312.96/x
  3. Step 3: Cross multiply
    356.16x = 533.44 × 312.96
  4. Step 4: Simplify right side
    356.16x = 166,945.38
  5. Step 5: Solve for x
    x = 166,945.38/356.16
  6. Step 6: Final answer
    x = 468.74

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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.