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Finding the Fourth Proportional to 539.66, 745.40 and 465.95

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Solution

The fourth proportional to 539.66, 745.40 and 465.95 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.66 : 745.40 = 465.95 : x
  2. Step 2: Convert to fraction form
    539.66/745.40 = 465.95/x
  3. Step 3: Cross multiply
    539.66x = 745.40 × 465.95
  4. Step 4: Simplify right side
    539.66x = 347,319.13
  5. Step 5: Solve for x
    x = 347,319.13/539.66
  6. Step 6: Final answer
    x = 643.59

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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.