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Finding the Fourth Proportional to 536.57, 740.26 and 350.00

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Solution

The fourth proportional to 536.57, 740.26 and 350.00 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.57 : 740.26 = 350.00 : x
  2. Step 2: Convert to fraction form
    536.57/740.26 = 350.00/x
  3. Step 3: Cross multiply
    536.57x = 740.26 × 350.00
  4. Step 4: Simplify right side
    536.57x = 259,088.54
  5. Step 5: Solve for x
    x = 259,088.54/536.57
  6. Step 6: Final answer
    x = 482.86

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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.