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Finding the Fourth Proportional to 526.82, 789.66 and 202.10

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Solution

The fourth proportional to 526.82, 789.66 and 202.10 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 789.66 = 202.10 : x
  2. Step 2: Convert to fraction form
    526.82/789.66 = 202.10/x
  3. Step 3: Cross multiply
    526.82x = 789.66 × 202.10
  4. Step 4: Simplify right side
    526.82x = 159,586.34
  5. Step 5: Solve for x
    x = 159,586.34/526.82
  6. Step 6: Final answer
    x = 302.93

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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.