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Finding the Fourth Proportional to 526.94, 788.79 and 449.18

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Solution

The fourth proportional to 526.94, 788.79 and 449.18 is: 672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 788.79 = 449.18 : x
  2. Step 2: Convert to fraction form
    526.94/788.79 = 449.18/x
  3. Step 3: Cross multiply
    526.94x = 788.79 × 449.18
  4. Step 4: Simplify right side
    526.94x = 354,308.69
  5. Step 5: Solve for x
    x = 354,308.69/526.94
  6. Step 6: Final answer
    x = 672.39

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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.