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Finding the Fourth Proportional to 540.34, 745.10 and 509.56

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Solution

The fourth proportional to 540.34, 745.10 and 509.56 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 745.10 = 509.56 : x
  2. Step 2: Convert to fraction form
    540.34/745.10 = 509.56/x
  3. Step 3: Cross multiply
    540.34x = 745.10 × 509.56
  4. Step 4: Simplify right side
    540.34x = 379,670.66
  5. Step 5: Solve for x
    x = 379,670.66/540.34
  6. Step 6: Final answer
    x = 702.65

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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.