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Finding the Fourth Proportional to 539.15, 804.96 and 465.93

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Solution

The fourth proportional to 539.15, 804.96 and 465.93 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.15 : 804.96 = 465.93 : x
  2. Step 2: Convert to fraction form
    539.15/804.96 = 465.93/x
  3. Step 3: Cross multiply
    539.15x = 804.96 × 465.93
  4. Step 4: Simplify right side
    539.15x = 375,055.01
  5. Step 5: Solve for x
    x = 375,055.01/539.15
  6. Step 6: Final answer
    x = 695.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.