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Finding the Fourth Proportional to 555.16, 766.10 and 306.47

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Solution

The fourth proportional to 555.16, 766.10 and 306.47 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 766.10 = 306.47 : x
  2. Step 2: Convert to fraction form
    555.16/766.10 = 306.47/x
  3. Step 3: Cross multiply
    555.16x = 766.10 × 306.47
  4. Step 4: Simplify right side
    555.16x = 234,783.32
  5. Step 5: Solve for x
    x = 234,783.32/555.16
  6. Step 6: Final answer
    x = 422.91

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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.