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Finding the Fourth Proportional to 556.46, 767.98 and 323.58

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Solution

The fourth proportional to 556.46, 767.98 and 323.58 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 767.98 = 323.58 : x
  2. Step 2: Convert to fraction form
    556.46/767.98 = 323.58/x
  3. Step 3: Cross multiply
    556.46x = 767.98 × 323.58
  4. Step 4: Simplify right side
    556.46x = 248,506.25
  5. Step 5: Solve for x
    x = 248,506.25/556.46
  6. Step 6: Final answer
    x = 446.59

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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.