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Finding the Fourth Proportional to 690, 1,035.41 and 305.25

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Solution

The fourth proportional to 690, 1,035.41 and 305.25 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,035.41 = 305.25 : x
  2. Step 2: Convert to fraction form
    690/1,035.41 = 305.25/x
  3. Step 3: Cross multiply
    690x = 1,035.41 × 305.25
  4. Step 4: Simplify right side
    690x = 316,057.38
  5. Step 5: Solve for x
    x = 316,057.38/690
  6. Step 6: Final answer
    x = 458.05

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