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Finding the Fourth Proportional to 505.71, 697.95 and 366.30

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Solution

The fourth proportional to 505.71, 697.95 and 366.30 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 697.95 = 366.30 : x
  2. Step 2: Convert to fraction form
    505.71/697.95 = 366.30/x
  3. Step 3: Cross multiply
    505.71x = 697.95 × 366.30
  4. Step 4: Simplify right side
    505.71x = 255,659.09
  5. Step 5: Solve for x
    x = 255,659.09/505.71
  6. Step 6: Final answer
    x = 505.54

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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.