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Finding the Fourth Proportional to 555.29, 766.30 and 306.65

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Solution

The fourth proportional to 555.29, 766.30 and 306.65 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.29 : 766.30 = 306.65 : x
  2. Step 2: Convert to fraction form
    555.29/766.30 = 306.65/x
  3. Step 3: Cross multiply
    555.29x = 766.30 × 306.65
  4. Step 4: Simplify right side
    555.29x = 234,987.11
  5. Step 5: Solve for x
    x = 234,987.11/555.29
  6. Step 6: Final answer
    x = 423.18

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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.