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Finding the Fourth Proportional to 555.66, 766.17 and 390.42

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Solution

The fourth proportional to 555.66, 766.17 and 390.42 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.66 : 766.17 = 390.42 : x
  2. Step 2: Convert to fraction form
    555.66/766.17 = 390.42/x
  3. Step 3: Cross multiply
    555.66x = 766.17 × 390.42
  4. Step 4: Simplify right side
    555.66x = 299,128.09
  5. Step 5: Solve for x
    x = 299,128.09/555.66
  6. Step 6: Final answer
    x = 538.33

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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.