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Finding the Fourth Proportional to 529.51, 793.74 and 200.35

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Solution

The fourth proportional to 529.51, 793.74 and 200.35 is: 300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.51 : 793.74 = 200.35 : x
  2. Step 2: Convert to fraction form
    529.51/793.74 = 200.35/x
  3. Step 3: Cross multiply
    529.51x = 793.74 × 200.35
  4. Step 4: Simplify right side
    529.51x = 159,024.81
  5. Step 5: Solve for x
    x = 159,024.81/529.51
  6. Step 6: Final answer
    x = 300.33

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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.