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Finding the Fourth Proportional to 526.20, 788.42 and 320.14

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Solution

The fourth proportional to 526.20, 788.42 and 320.14 is: 479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 788.42 = 320.14 : x
  2. Step 2: Convert to fraction form
    526.20/788.42 = 320.14/x
  3. Step 3: Cross multiply
    526.20x = 788.42 × 320.14
  4. Step 4: Simplify right side
    526.20x = 252,404.78
  5. Step 5: Solve for x
    x = 252,404.78/526.20
  6. Step 6: Final answer
    x = 479.68

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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.