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Finding the Fourth Proportional to 666.33, 918.94 and 417.68

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Solution

The fourth proportional to 666.33, 918.94 and 417.68 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.33 : 918.94 = 417.68 : x
  2. Step 2: Convert to fraction form
    666.33/918.94 = 417.68/x
  3. Step 3: Cross multiply
    666.33x = 918.94 × 417.68
  4. Step 4: Simplify right side
    666.33x = 383,816.18
  5. Step 5: Solve for x
    x = 383,816.18/666.33
  6. Step 6: Final answer
    x = 576.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.