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Finding the Fourth Proportional to 526.26, 784.82 and 449.72

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Solution

The fourth proportional to 526.26, 784.82 and 449.72 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 784.82 = 449.72 : x
  2. Step 2: Convert to fraction form
    526.26/784.82 = 449.72/x
  3. Step 3: Cross multiply
    526.26x = 784.82 × 449.72
  4. Step 4: Simplify right side
    526.26x = 352,949.39
  5. Step 5: Solve for x
    x = 352,949.39/526.26
  6. Step 6: Final answer
    x = 670.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.