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Finding the Fourth Proportional to 526.38, 788.86 and 279.53

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Solution

The fourth proportional to 526.38, 788.86 and 279.53 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.38 : 788.86 = 279.53 : x
  2. Step 2: Convert to fraction form
    526.38/788.86 = 279.53/x
  3. Step 3: Cross multiply
    526.38x = 788.86 × 279.53
  4. Step 4: Simplify right side
    526.38x = 220,504.69
  5. Step 5: Solve for x
    x = 220,504.69/526.38
  6. Step 6: Final answer
    x = 418.91

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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.