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Finding the Fourth Proportional to 536.65, 739.83 and 387.34

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Solution

The fourth proportional to 536.65, 739.83 and 387.34 is: 533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.65 : 739.83 = 387.34 : x
  2. Step 2: Convert to fraction form
    536.65/739.83 = 387.34/x
  3. Step 3: Cross multiply
    536.65x = 739.83 × 387.34
  4. Step 4: Simplify right side
    536.65x = 286,565.75
  5. Step 5: Solve for x
    x = 286,565.75/536.65
  6. Step 6: Final answer
    x = 533.99

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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.