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Finding the Fourth Proportional to 477.09, 715.03 and 217.23

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Solution

The fourth proportional to 477.09, 715.03 and 217.23 is: 325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 715.03 = 217.23 : x
  2. Step 2: Convert to fraction form
    477.09/715.03 = 217.23/x
  3. Step 3: Cross multiply
    477.09x = 715.03 × 217.23
  4. Step 4: Simplify right side
    477.09x = 155,326.76
  5. Step 5: Solve for x
    x = 155,326.76/477.09
  6. Step 6: Final answer
    x = 325.57

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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.