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Finding the Fourth Proportional to 526.86, 790.43 and 378.79

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Solution

The fourth proportional to 526.86, 790.43 and 378.79 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.86 : 790.43 = 378.79 : x
  2. Step 2: Convert to fraction form
    526.86/790.43 = 378.79/x
  3. Step 3: Cross multiply
    526.86x = 790.43 × 378.79
  4. Step 4: Simplify right side
    526.86x = 299,401.13
  5. Step 5: Solve for x
    x = 299,401.13/526.86
  6. Step 6: Final answer
    x = 568.27

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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.