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Finding the Fourth Proportional to 526.40, 789.71 and 201.77

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Solution

The fourth proportional to 526.40, 789.71 and 201.77 is: 302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 789.71 = 201.77 : x
  2. Step 2: Convert to fraction form
    526.40/789.71 = 201.77/x
  3. Step 3: Cross multiply
    526.40x = 789.71 × 201.77
  4. Step 4: Simplify right side
    526.40x = 159,336.34
  5. Step 5: Solve for x
    x = 159,336.34/526.40
  6. Step 6: Final answer
    x = 302.69

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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.