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Finding the Fourth Proportional to 608.36, 910.91 and 477.68

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Solution

The fourth proportional to 608.36, 910.91 and 477.68 is: 715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 910.91 = 477.68 : x
  2. Step 2: Convert to fraction form
    608.36/910.91 = 477.68/x
  3. Step 3: Cross multiply
    608.36x = 910.91 × 477.68
  4. Step 4: Simplify right side
    608.36x = 435,120.13
  5. Step 5: Solve for x
    x = 435,120.13/608.36
  6. Step 6: Final answer
    x = 715.24

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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.