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Finding the Fourth Proportional to 690.29, 1,035.14 and 365.58

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Solution

The fourth proportional to 690.29, 1,035.14 and 365.58 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.29 : 1,035.14 = 365.58 : x
  2. Step 2: Convert to fraction form
    690.29/1,035.14 = 365.58/x
  3. Step 3: Cross multiply
    690.29x = 1,035.14 × 365.58
  4. Step 4: Simplify right side
    690.29x = 378,428.54
  5. Step 5: Solve for x
    x = 378,428.54/690.29
  6. Step 6: Final answer
    x = 548.21

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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.