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Finding the Fourth Proportional to 501.99, 690.96 and 361.89

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Solution

The fourth proportional to 501.99, 690.96 and 361.89 is: 498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.99 : 690.96 = 361.89 : x
  2. Step 2: Convert to fraction form
    501.99/690.96 = 361.89/x
  3. Step 3: Cross multiply
    501.99x = 690.96 × 361.89
  4. Step 4: Simplify right side
    501.99x = 250,048.06
  5. Step 5: Solve for x
    x = 250,048.06/501.99
  6. Step 6: Final answer
    x = 498.11

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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.