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Finding the Fourth Proportional to 345.33, 520.37 and 285.80

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Solution

The fourth proportional to 345.33, 520.37 and 285.80 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.33 : 520.37 = 285.80 : x
  2. Step 2: Convert to fraction form
    345.33/520.37 = 285.80/x
  3. Step 3: Cross multiply
    345.33x = 520.37 × 285.80
  4. Step 4: Simplify right side
    345.33x = 148,721.75
  5. Step 5: Solve for x
    x = 148,721.75/345.33
  6. Step 6: Final answer
    x = 430.67

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