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Finding the Fourth Proportional to 526.45, 788.80 and 320.39

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Solution

The fourth proportional to 526.45, 788.80 and 320.39 is: 480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.45 : 788.80 = 320.39 : x
  2. Step 2: Convert to fraction form
    526.45/788.80 = 320.39/x
  3. Step 3: Cross multiply
    526.45x = 788.80 × 320.39
  4. Step 4: Simplify right side
    526.45x = 252,722.03
  5. Step 5: Solve for x
    x = 252,722.03/526.45
  6. Step 6: Final answer
    x = 480.05

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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.