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Finding the Fourth Proportional to 539.83, 808.35 and 452.95

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Solution

The fourth proportional to 539.83, 808.35 and 452.95 is: 678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 808.35 = 452.95 : x
  2. Step 2: Convert to fraction form
    539.83/808.35 = 452.95/x
  3. Step 3: Cross multiply
    539.83x = 808.35 × 452.95
  4. Step 4: Simplify right side
    539.83x = 366,142.13
  5. Step 5: Solve for x
    x = 366,142.13/539.83
  6. Step 6: Final answer
    x = 678.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.