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Finding the Fourth Proportional to 540.55, 745.93 and 381.28

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Solution

The fourth proportional to 540.55, 745.93 and 381.28 is: 526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.55 : 745.93 = 381.28 : x
  2. Step 2: Convert to fraction form
    540.55/745.93 = 381.28/x
  3. Step 3: Cross multiply
    540.55x = 745.93 × 381.28
  4. Step 4: Simplify right side
    540.55x = 284,408.19
  5. Step 5: Solve for x
    x = 284,408.19/540.55
  6. Step 6: Final answer
    x = 526.15

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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.