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Finding the Fourth Proportional to 505.40, 697.02 and 365.46

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Solution

The fourth proportional to 505.40, 697.02 and 365.46 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 697.02 = 365.46 : x
  2. Step 2: Convert to fraction form
    505.40/697.02 = 365.46/x
  3. Step 3: Cross multiply
    505.40x = 697.02 × 365.46
  4. Step 4: Simplify right side
    505.40x = 254,732.93
  5. Step 5: Solve for x
    x = 254,732.93/505.40
  6. Step 6: Final answer
    x = 504.02

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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.