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Finding the Fourth Proportional to 366.06, 504.71 and 295.86

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Solution

The fourth proportional to 366.06, 504.71 and 295.86 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 504.71 = 295.86 : x
  2. Step 2: Convert to fraction form
    366.06/504.71 = 295.86/x
  3. Step 3: Cross multiply
    366.06x = 504.71 × 295.86
  4. Step 4: Simplify right side
    366.06x = 149,326.13
  5. Step 5: Solve for x
    x = 149,326.13/366.06
  6. Step 6: Final answer
    x = 407.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.