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Finding the Fourth Proportional to 477.23, 715.77 and 169.23

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Solution

The fourth proportional to 477.23, 715.77 and 169.23 is: 253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 715.77 = 169.23 : x
  2. Step 2: Convert to fraction form
    477.23/715.77 = 169.23/x
  3. Step 3: Cross multiply
    477.23x = 715.77 × 169.23
  4. Step 4: Simplify right side
    477.23x = 121,129.76
  5. Step 5: Solve for x
    x = 121,129.76/477.23
  6. Step 6: Final answer
    x = 253.82

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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.