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Finding the Fourth Proportional to 383.50, 529.02 and 258.96

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Solution

The fourth proportional to 383.50, 529.02 and 258.96 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.50 : 529.02 = 258.96 : x
  2. Step 2: Convert to fraction form
    383.50/529.02 = 258.96/x
  3. Step 3: Cross multiply
    383.50x = 529.02 × 258.96
  4. Step 4: Simplify right side
    383.50x = 136,995.02
  5. Step 5: Solve for x
    x = 136,995.02/383.50
  6. Step 6: Final answer
    x = 357.22

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