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Finding the Fourth Proportional to 556.08, 767.36 and 319.86

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Solution

The fourth proportional to 556.08, 767.36 and 319.86 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 767.36 = 319.86 : x
  2. Step 2: Convert to fraction form
    556.08/767.36 = 319.86/x
  3. Step 3: Cross multiply
    556.08x = 767.36 × 319.86
  4. Step 4: Simplify right side
    556.08x = 245,447.77
  5. Step 5: Solve for x
    x = 245,447.77/556.08
  6. Step 6: Final answer
    x = 441.39

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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.