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Finding the Fourth Proportional to 555.10, 765.91 and 415.68

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Solution

The fourth proportional to 555.10, 765.91 and 415.68 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.10 : 765.91 = 415.68 : x
  2. Step 2: Convert to fraction form
    555.10/765.91 = 415.68/x
  3. Step 3: Cross multiply
    555.10x = 765.91 × 415.68
  4. Step 4: Simplify right side
    555.10x = 318,373.09
  5. Step 5: Solve for x
    x = 318,373.09/555.10
  6. Step 6: Final answer
    x = 573.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.