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Finding the Fourth Proportional to 597.05, 895.67 and 206.95

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Solution

The fourth proportional to 597.05, 895.67 and 206.95 is: 310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.05 : 895.67 = 206.95 : x
  2. Step 2: Convert to fraction form
    597.05/895.67 = 206.95/x
  3. Step 3: Cross multiply
    597.05x = 895.67 × 206.95
  4. Step 4: Simplify right side
    597.05x = 185,358.91
  5. Step 5: Solve for x
    x = 185,358.91/597.05
  6. Step 6: Final answer
    x = 310.46

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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.