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Finding the Fourth Proportional to 857.21, 1,284.98 and 446.39

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Solution

The fourth proportional to 857.21, 1,284.98 and 446.39 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.21 : 1,284.98 = 446.39 : x
  2. Step 2: Convert to fraction form
    857.21/1,284.98 = 446.39/x
  3. Step 3: Cross multiply
    857.21x = 1,284.98 × 446.39
  4. Step 4: Simplify right side
    857.21x = 573,602.22
  5. Step 5: Solve for x
    x = 573,602.22/857.21
  6. Step 6: Final answer
    x = 669.15

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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.