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Finding the Fourth Proportional to 555.34, 766.38 and 306.66

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Solution

The fourth proportional to 555.34, 766.38 and 306.66 is: 423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 766.38 = 306.66 : x
  2. Step 2: Convert to fraction form
    555.34/766.38 = 306.66/x
  3. Step 3: Cross multiply
    555.34x = 766.38 × 306.66
  4. Step 4: Simplify right side
    555.34x = 235,018.09
  5. Step 5: Solve for x
    x = 235,018.09/555.34
  6. Step 6: Final answer
    x = 423.20

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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.