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Finding the Fourth Proportional to 347.96, 522.16 and 302.24

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Solution

The fourth proportional to 347.96, 522.16 and 302.24 is: 453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.96 : 522.16 = 302.24 : x
  2. Step 2: Convert to fraction form
    347.96/522.16 = 302.24/x
  3. Step 3: Cross multiply
    347.96x = 522.16 × 302.24
  4. Step 4: Simplify right side
    347.96x = 157,817.64
  5. Step 5: Solve for x
    x = 157,817.64/347.96
  6. Step 6: Final answer
    x = 453.55

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Why These Related Problems?

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