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Finding the Fourth Proportional to 555.42, 766.51 and 306.77

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Solution

The fourth proportional to 555.42, 766.51 and 306.77 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 766.51 = 306.77 : x
  2. Step 2: Convert to fraction form
    555.42/766.51 = 306.77/x
  3. Step 3: Cross multiply
    555.42x = 766.51 × 306.77
  4. Step 4: Simplify right side
    555.42x = 235,143.71
  5. Step 5: Solve for x
    x = 235,143.71/555.42
  6. Step 6: Final answer
    x = 423.36

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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.