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Finding the Fourth Proportional to 526.81, 790.29 and 234.41

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Solution

The fourth proportional to 526.81, 790.29 and 234.41 is: 351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.81 : 790.29 = 234.41 : x
  2. Step 2: Convert to fraction form
    526.81/790.29 = 234.41/x
  3. Step 3: Cross multiply
    526.81x = 790.29 × 234.41
  4. Step 4: Simplify right side
    526.81x = 185,253.36
  5. Step 5: Solve for x
    x = 185,253.36/526.81
  6. Step 6: Final answer
    x = 351.65

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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.