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Finding the Fourth Proportional to 540.06, 745.58 and 433.44

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Solution

The fourth proportional to 540.06, 745.58 and 433.44 is: 598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 745.58 = 433.44 : x
  2. Step 2: Convert to fraction form
    540.06/745.58 = 433.44/x
  3. Step 3: Cross multiply
    540.06x = 745.58 × 433.44
  4. Step 4: Simplify right side
    540.06x = 323,160.47
  5. Step 5: Solve for x
    x = 323,160.47/540.06
  6. Step 6: Final answer
    x = 598.38

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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.