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Finding the Fourth Proportional to 522.48, 783.84 and 157.44

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Solution

The fourth proportional to 522.48, 783.84 and 157.44 is: 236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.48 : 783.84 = 157.44 : x
  2. Step 2: Convert to fraction form
    522.48/783.84 = 157.44/x
  3. Step 3: Cross multiply
    522.48x = 783.84 × 157.44
  4. Step 4: Simplify right side
    522.48x = 123,407.77
  5. Step 5: Solve for x
    x = 123,407.77/522.48
  6. Step 6: Final answer
    x = 236.20

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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.