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Finding the Fourth Proportional to 690.21, 1,035.50 and 365.13

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Solution

The fourth proportional to 690.21, 1,035.50 and 365.13 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.21 : 1,035.50 = 365.13 : x
  2. Step 2: Convert to fraction form
    690.21/1,035.50 = 365.13/x
  3. Step 3: Cross multiply
    690.21x = 1,035.50 × 365.13
  4. Step 4: Simplify right side
    690.21x = 378,090.29
  5. Step 5: Solve for x
    x = 378,090.29/690.21
  6. Step 6: Final answer
    x = 547.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.