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Finding the Fourth Proportional to 690.10, 1,035.26 and 320.27

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Solution

The fourth proportional to 690.10, 1,035.26 and 320.27 is: 480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.10 : 1,035.26 = 320.27 : x
  2. Step 2: Convert to fraction form
    690.10/1,035.26 = 320.27/x
  3. Step 3: Cross multiply
    690.10x = 1,035.26 × 320.27
  4. Step 4: Simplify right side
    690.10x = 331,569.14
  5. Step 5: Solve for x
    x = 331,569.14/690.10
  6. Step 6: Final answer
    x = 480.47

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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.