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Finding the Fourth Proportional to 484.36, 666.96 and 438.05

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Solution

The fourth proportional to 484.36, 666.96 and 438.05 is: 603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 666.96 = 438.05 : x
  2. Step 2: Convert to fraction form
    484.36/666.96 = 438.05/x
  3. Step 3: Cross multiply
    484.36x = 666.96 × 438.05
  4. Step 4: Simplify right side
    484.36x = 292,161.83
  5. Step 5: Solve for x
    x = 292,161.83/484.36
  6. Step 6: Final answer
    x = 603.19

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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.