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Finding the Fourth Proportional to 537.06, 804.51 and 407.82

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Solution

The fourth proportional to 537.06, 804.51 and 407.82 is: 610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.06 : 804.51 = 407.82 : x
  2. Step 2: Convert to fraction form
    537.06/804.51 = 407.82/x
  3. Step 3: Cross multiply
    537.06x = 804.51 × 407.82
  4. Step 4: Simplify right side
    537.06x = 328,095.27
  5. Step 5: Solve for x
    x = 328,095.27/537.06
  6. Step 6: Final answer
    x = 610.91

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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.