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Finding the Fourth Proportional to 370.25, 557.88 and 306.67

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Solution

The fourth proportional to 370.25, 557.88 and 306.67 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 557.88 = 306.67 : x
  2. Step 2: Convert to fraction form
    370.25/557.88 = 306.67/x
  3. Step 3: Cross multiply
    370.25x = 557.88 × 306.67
  4. Step 4: Simplify right side
    370.25x = 171,082.51
  5. Step 5: Solve for x
    x = 171,082.51/370.25
  6. Step 6: Final answer
    x = 462.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.