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Finding the Fourth Proportional to 526.48, 788.64 and 320.56

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Solution

The fourth proportional to 526.48, 788.64 and 320.56 is: 480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 788.64 = 320.56 : x
  2. Step 2: Convert to fraction form
    526.48/788.64 = 320.56/x
  3. Step 3: Cross multiply
    526.48x = 788.64 × 320.56
  4. Step 4: Simplify right side
    526.48x = 252,806.44
  5. Step 5: Solve for x
    x = 252,806.44/526.48
  6. Step 6: Final answer
    x = 480.18

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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.