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Finding the Fourth Proportional to 536.07, 739.80 and 300.01

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Solution

The fourth proportional to 536.07, 739.80 and 300.01 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.07 : 739.80 = 300.01 : x
  2. Step 2: Convert to fraction form
    536.07/739.80 = 300.01/x
  3. Step 3: Cross multiply
    536.07x = 739.80 × 300.01
  4. Step 4: Simplify right side
    536.07x = 221,947.40
  5. Step 5: Solve for x
    x = 221,947.40/536.07
  6. Step 6: Final answer
    x = 414.03

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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.