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Finding the Fourth Proportional to 477.39, 715.41 and 282.44

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Solution

The fourth proportional to 477.39, 715.41 and 282.44 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.39 : 715.41 = 282.44 : x
  2. Step 2: Convert to fraction form
    477.39/715.41 = 282.44/x
  3. Step 3: Cross multiply
    477.39x = 715.41 × 282.44
  4. Step 4: Simplify right side
    477.39x = 202,056.82
  5. Step 5: Solve for x
    x = 202,056.82/477.39
  6. Step 6: Final answer
    x = 423.25

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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.