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Finding the Fourth Proportional to 526.40, 789.85 and 282.89

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Solution

The fourth proportional to 526.40, 789.85 and 282.89 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.40 : 789.85 = 282.89 : x
  2. Step 2: Convert to fraction form
    526.40/789.85 = 282.89/x
  3. Step 3: Cross multiply
    526.40x = 789.85 × 282.89
  4. Step 4: Simplify right side
    526.40x = 223,442.99
  5. Step 5: Solve for x
    x = 223,442.99/526.40
  6. Step 6: Final answer
    x = 424.47

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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.