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Finding the Fourth Proportional to 666.36, 920.94 and 590.52

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Solution

The fourth proportional to 666.36, 920.94 and 590.52 is: 816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.36 : 920.94 = 590.52 : x
  2. Step 2: Convert to fraction form
    666.36/920.94 = 590.52/x
  3. Step 3: Cross multiply
    666.36x = 920.94 × 590.52
  4. Step 4: Simplify right side
    666.36x = 543,833.49
  5. Step 5: Solve for x
    x = 543,833.49/666.36
  6. Step 6: Final answer
    x = 816.13

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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.