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Finding the Fourth Proportional to 536.70, 739.63 and 387.07

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Solution

The fourth proportional to 536.70, 739.63 and 387.07 is: 533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 739.63 = 387.07 : x
  2. Step 2: Convert to fraction form
    536.70/739.63 = 387.07/x
  3. Step 3: Cross multiply
    536.70x = 739.63 × 387.07
  4. Step 4: Simplify right side
    536.70x = 286,288.58
  5. Step 5: Solve for x
    x = 286,288.58/536.70
  6. Step 6: Final answer
    x = 533.42

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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.