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Finding the Fourth Proportional to 568.07, 851.32 and 293.60

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Solution

The fourth proportional to 568.07, 851.32 and 293.60 is: 440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.07 : 851.32 = 293.60 : x
  2. Step 2: Convert to fraction form
    568.07/851.32 = 293.60/x
  3. Step 3: Cross multiply
    568.07x = 851.32 × 293.60
  4. Step 4: Simplify right side
    568.07x = 249,947.55
  5. Step 5: Solve for x
    x = 249,947.55/568.07
  6. Step 6: Final answer
    x = 440.00

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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.