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Finding the Fourth Proportional to 536.81, 808.41 and 472.50

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Solution

The fourth proportional to 536.81, 808.41 and 472.50 is: 711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.81 : 808.41 = 472.50 : x
  2. Step 2: Convert to fraction form
    536.81/808.41 = 472.50/x
  3. Step 3: Cross multiply
    536.81x = 808.41 × 472.50
  4. Step 4: Simplify right side
    536.81x = 381,973.73
  5. Step 5: Solve for x
    x = 381,973.73/536.81
  6. Step 6: Final answer
    x = 711.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.