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Finding the Fourth Proportional to 527.06, 790.32 and 238.34

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Solution

The fourth proportional to 527.06, 790.32 and 238.34 is: 357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 790.32 = 238.34 : x
  2. Step 2: Convert to fraction form
    527.06/790.32 = 238.34/x
  3. Step 3: Cross multiply
    527.06x = 790.32 × 238.34
  4. Step 4: Simplify right side
    527.06x = 188,364.87
  5. Step 5: Solve for x
    x = 188,364.87/527.06
  6. Step 6: Final answer
    x = 357.39

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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.