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Finding the Fourth Proportional to 597.17, 895.79 and 186.59

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Solution

The fourth proportional to 597.17, 895.79 and 186.59 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 895.79 = 186.59 : x
  2. Step 2: Convert to fraction form
    597.17/895.79 = 186.59/x
  3. Step 3: Cross multiply
    597.17x = 895.79 × 186.59
  4. Step 4: Simplify right side
    597.17x = 167,148.16
  5. Step 5: Solve for x
    x = 167,148.16/597.17
  6. Step 6: Final answer
    x = 279.90

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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.