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Finding the Fourth Proportional to 555.72, 766.14 and 416.04

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Solution

The fourth proportional to 555.72, 766.14 and 416.04 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.72 : 766.14 = 416.04 : x
  2. Step 2: Convert to fraction form
    555.72/766.14 = 416.04/x
  3. Step 3: Cross multiply
    555.72x = 766.14 × 416.04
  4. Step 4: Simplify right side
    555.72x = 318,744.89
  5. Step 5: Solve for x
    x = 318,744.89/555.72
  6. Step 6: Final answer
    x = 573.57

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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.