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Finding the Fourth Proportional to 536.76, 804.47 and 305.78

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Solution

The fourth proportional to 536.76, 804.47 and 305.78 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 804.47 = 305.78 : x
  2. Step 2: Convert to fraction form
    536.76/804.47 = 305.78/x
  3. Step 3: Cross multiply
    536.76x = 804.47 × 305.78
  4. Step 4: Simplify right side
    536.76x = 245,985.29
  5. Step 5: Solve for x
    x = 245,985.29/536.76
  6. Step 6: Final answer
    x = 458.28

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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.