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Finding the Fourth Proportional to 536.99, 804.26 and 292.93

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Solution

The fourth proportional to 536.99, 804.26 and 292.93 is: 438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.99 : 804.26 = 292.93 : x
  2. Step 2: Convert to fraction form
    536.99/804.26 = 292.93/x
  3. Step 3: Cross multiply
    536.99x = 804.26 × 292.93
  4. Step 4: Simplify right side
    536.99x = 235,590.60
  5. Step 5: Solve for x
    x = 235,590.60/536.99
  6. Step 6: Final answer
    x = 438.73

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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.