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Finding the Fourth Proportional to 562.43, 843.93 and 302.67

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Solution

The fourth proportional to 562.43, 843.93 and 302.67 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.43 : 843.93 = 302.67 : x
  2. Step 2: Convert to fraction form
    562.43/843.93 = 302.67/x
  3. Step 3: Cross multiply
    562.43x = 843.93 × 302.67
  4. Step 4: Simplify right side
    562.43x = 255,432.29
  5. Step 5: Solve for x
    x = 255,432.29/562.43
  6. Step 6: Final answer
    x = 454.16

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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.