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Finding the Fourth Proportional to 665.44, 918.89 and 417.19

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Solution

The fourth proportional to 665.44, 918.89 and 417.19 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 918.89 = 417.19 : x
  2. Step 2: Convert to fraction form
    665.44/918.89 = 417.19/x
  3. Step 3: Cross multiply
    665.44x = 918.89 × 417.19
  4. Step 4: Simplify right side
    665.44x = 383,345.04
  5. Step 5: Solve for x
    x = 383,345.04/665.44
  6. Step 6: Final answer
    x = 576.08

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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.