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Finding the Fourth Proportional to 526.56, 786.82 and 379.60

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Solution

The fourth proportional to 526.56, 786.82 and 379.60 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 786.82 = 379.60 : x
  2. Step 2: Convert to fraction form
    526.56/786.82 = 379.60/x
  3. Step 3: Cross multiply
    526.56x = 786.82 × 379.60
  4. Step 4: Simplify right side
    526.56x = 298,676.87
  5. Step 5: Solve for x
    x = 298,676.87/526.56
  6. Step 6: Final answer
    x = 567.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.