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Finding the Fourth Proportional to 567.64, 852.60 and 446.92

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Solution

The fourth proportional to 567.64, 852.60 and 446.92 is: 671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.64 : 852.60 = 446.92 : x
  2. Step 2: Convert to fraction form
    567.64/852.60 = 446.92/x
  3. Step 3: Cross multiply
    567.64x = 852.60 × 446.92
  4. Step 4: Simplify right side
    567.64x = 381,043.99
  5. Step 5: Solve for x
    x = 381,043.99/567.64
  6. Step 6: Final answer
    x = 671.28

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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.