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Finding the Fourth Proportional to 526.68, 788.49 and 397.22

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Solution

The fourth proportional to 526.68, 788.49 and 397.22 is: 594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 788.49 = 397.22 : x
  2. Step 2: Convert to fraction form
    526.68/788.49 = 397.22/x
  3. Step 3: Cross multiply
    526.68x = 788.49 × 397.22
  4. Step 4: Simplify right side
    526.68x = 313,200.06
  5. Step 5: Solve for x
    x = 313,200.06/526.68
  6. Step 6: Final answer
    x = 594.67

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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.