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Finding the Fourth Proportional to 501.50, 691.13 and 361.37

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Solution

The fourth proportional to 501.50, 691.13 and 361.37 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.50 : 691.13 = 361.37 : x
  2. Step 2: Convert to fraction form
    501.50/691.13 = 361.37/x
  3. Step 3: Cross multiply
    501.50x = 691.13 × 361.37
  4. Step 4: Simplify right side
    501.50x = 249,751.84
  5. Step 5: Solve for x
    x = 249,751.84/501.50
  6. Step 6: Final answer
    x = 498.01

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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.