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Finding the Fourth Proportional to 555.80, 767.16 and 540.94

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Solution

The fourth proportional to 555.80, 767.16 and 540.94 is: 746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.80 : 767.16 = 540.94 : x
  2. Step 2: Convert to fraction form
    555.80/767.16 = 540.94/x
  3. Step 3: Cross multiply
    555.80x = 767.16 × 540.94
  4. Step 4: Simplify right side
    555.80x = 414,987.53
  5. Step 5: Solve for x
    x = 414,987.53/555.80
  6. Step 6: Final answer
    x = 746.65

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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.