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Finding the Fourth Proportional to 540.86, 745.83 and 509.48

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Solution

The fourth proportional to 540.86, 745.83 and 509.48 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.86 : 745.83 = 509.48 : x
  2. Step 2: Convert to fraction form
    540.86/745.83 = 509.48/x
  3. Step 3: Cross multiply
    540.86x = 745.83 × 509.48
  4. Step 4: Simplify right side
    540.86x = 379,981.74
  5. Step 5: Solve for x
    x = 379,981.74/540.86
  6. Step 6: Final answer
    x = 702.56

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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.