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Finding the Fourth Proportional to 477.16, 715.42 and 268.94

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Solution

The fourth proportional to 477.16, 715.42 and 268.94 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 715.42 = 268.94 : x
  2. Step 2: Convert to fraction form
    477.16/715.42 = 268.94/x
  3. Step 3: Cross multiply
    477.16x = 715.42 × 268.94
  4. Step 4: Simplify right side
    477.16x = 192,405.05
  5. Step 5: Solve for x
    x = 192,405.05/477.16
  6. Step 6: Final answer
    x = 403.23

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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.