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Finding the Fourth Proportional to 477.36, 715.32 and 428.28

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Solution

The fourth proportional to 477.36, 715.32 and 428.28 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 715.32 = 428.28 : x
  2. Step 2: Convert to fraction form
    477.36/715.32 = 428.28/x
  3. Step 3: Cross multiply
    477.36x = 715.32 × 428.28
  4. Step 4: Simplify right side
    477.36x = 306,357.25
  5. Step 5: Solve for x
    x = 306,357.25/477.36
  6. Step 6: Final answer
    x = 641.77

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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.