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Finding the Fourth Proportional to 536.19, 804.29 and 207.06

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Solution

The fourth proportional to 536.19, 804.29 and 207.06 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.19 : 804.29 = 207.06 : x
  2. Step 2: Convert to fraction form
    536.19/804.29 = 207.06/x
  3. Step 3: Cross multiply
    536.19x = 804.29 × 207.06
  4. Step 4: Simplify right side
    536.19x = 166,535.25
  5. Step 5: Solve for x
    x = 166,535.25/536.19
  6. Step 6: Final answer
    x = 310.59

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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.