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Finding the Fourth Proportional to 555.69, 766.85 and 334.83

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Solution

The fourth proportional to 555.69, 766.85 and 334.83 is: 462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.69 : 766.85 = 334.83 : x
  2. Step 2: Convert to fraction form
    555.69/766.85 = 334.83/x
  3. Step 3: Cross multiply
    555.69x = 766.85 × 334.83
  4. Step 4: Simplify right side
    555.69x = 256,762.71
  5. Step 5: Solve for x
    x = 256,762.71/555.69
  6. Step 6: Final answer
    x = 462.06

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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.