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Finding the Fourth Proportional to 285.65, 428.75 and 240.29

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Solution

The fourth proportional to 285.65, 428.75 and 240.29 is: 360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.65 : 428.75 = 240.29 : x
  2. Step 2: Convert to fraction form
    285.65/428.75 = 240.29/x
  3. Step 3: Cross multiply
    285.65x = 428.75 × 240.29
  4. Step 4: Simplify right side
    285.65x = 103,024.34
  5. Step 5: Solve for x
    x = 103,024.34/285.65
  6. Step 6: Final answer
    x = 360.67

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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.