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Finding the Fourth Proportional to 556.76, 767.94 and 382.52

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Solution

The fourth proportional to 556.76, 767.94 and 382.52 is: 527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.76 : 767.94 = 382.52 : x
  2. Step 2: Convert to fraction form
    556.76/767.94 = 382.52/x
  3. Step 3: Cross multiply
    556.76x = 767.94 × 382.52
  4. Step 4: Simplify right side
    556.76x = 293,752.41
  5. Step 5: Solve for x
    x = 293,752.41/556.76
  6. Step 6: Final answer
    x = 527.61

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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.