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Finding the Fourth Proportional to 383.48, 528.62 and 235.84

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Solution

The fourth proportional to 383.48, 528.62 and 235.84 is: 325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 528.62 = 235.84 : x
  2. Step 2: Convert to fraction form
    383.48/528.62 = 235.84/x
  3. Step 3: Cross multiply
    383.48x = 528.62 × 235.84
  4. Step 4: Simplify right side
    383.48x = 124,669.74
  5. Step 5: Solve for x
    x = 124,669.74/383.48
  6. Step 6: Final answer
    x = 325.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.