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Finding the Fourth Proportional to 526.84, 790.62 and 253.12

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Solution

The fourth proportional to 526.84, 790.62 and 253.12 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 790.62 = 253.12 : x
  2. Step 2: Convert to fraction form
    526.84/790.62 = 253.12/x
  3. Step 3: Cross multiply
    526.84x = 790.62 × 253.12
  4. Step 4: Simplify right side
    526.84x = 200,121.73
  5. Step 5: Solve for x
    x = 200,121.73/526.84
  6. Step 6: Final answer
    x = 379.85

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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.