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Finding the Fourth Proportional to 556.71, 767.44 and 438.31

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Solution

The fourth proportional to 556.71, 767.44 and 438.31 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.71 : 767.44 = 438.31 : x
  2. Step 2: Convert to fraction form
    556.71/767.44 = 438.31/x
  3. Step 3: Cross multiply
    556.71x = 767.44 × 438.31
  4. Step 4: Simplify right side
    556.71x = 336,372.79
  5. Step 5: Solve for x
    x = 336,372.79/556.71
  6. Step 6: Final answer
    x = 604.22

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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.