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Finding the Fourth Proportional to 536.94, 804.66 and 292.92

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Solution

The fourth proportional to 536.94, 804.66 and 292.92 is: 438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 804.66 = 292.92 : x
  2. Step 2: Convert to fraction form
    536.94/804.66 = 292.92/x
  3. Step 3: Cross multiply
    536.94x = 804.66 × 292.92
  4. Step 4: Simplify right side
    536.94x = 235,701.01
  5. Step 5: Solve for x
    x = 235,701.01/536.94
  6. Step 6: Final answer
    x = 438.97

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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.