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Finding the Fourth Proportional to 597.14, 895.70 and 186.46

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Solution

The fourth proportional to 597.14, 895.70 and 186.46 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 895.70 = 186.46 : x
  2. Step 2: Convert to fraction form
    597.14/895.70 = 186.46/x
  3. Step 3: Cross multiply
    597.14x = 895.70 × 186.46
  4. Step 4: Simplify right side
    597.14x = 167,012.22
  5. Step 5: Solve for x
    x = 167,012.22/597.14
  6. Step 6: Final answer
    x = 279.69

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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.