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Finding the Fourth Proportional to 315.29, 471.75 and 283.32

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Solution

The fourth proportional to 315.29, 471.75 and 283.32 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 471.75 = 283.32 : x
  2. Step 2: Convert to fraction form
    315.29/471.75 = 283.32/x
  3. Step 3: Cross multiply
    315.29x = 471.75 × 283.32
  4. Step 4: Simplify right side
    315.29x = 133,656.21
  5. Step 5: Solve for x
    x = 133,656.21/315.29
  6. Step 6: Final answer
    x = 423.92

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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.