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Finding the Fourth Proportional to 501.36, 690.93 and 361.23

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Solution

The fourth proportional to 501.36, 690.93 and 361.23 is: 497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 690.93 = 361.23 : x
  2. Step 2: Convert to fraction form
    501.36/690.93 = 361.23/x
  3. Step 3: Cross multiply
    501.36x = 690.93 × 361.23
  4. Step 4: Simplify right side
    501.36x = 249,584.64
  5. Step 5: Solve for x
    x = 249,584.64/501.36
  6. Step 6: Final answer
    x = 497.82

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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.