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Finding the Fourth Proportional to 536.64, 804.24 and 289.68

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Solution

The fourth proportional to 536.64, 804.24 and 289.68 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 804.24 = 289.68 : x
  2. Step 2: Convert to fraction form
    536.64/804.24 = 289.68/x
  3. Step 3: Cross multiply
    536.64x = 804.24 × 289.68
  4. Step 4: Simplify right side
    536.64x = 232,972.24
  5. Step 5: Solve for x
    x = 232,972.24/536.64
  6. Step 6: Final answer
    x = 434.13

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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.