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Finding the Fourth Proportional to 597.29, 895.12 and 308.93

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Solution

The fourth proportional to 597.29, 895.12 and 308.93 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.29 : 895.12 = 308.93 : x
  2. Step 2: Convert to fraction form
    597.29/895.12 = 308.93/x
  3. Step 3: Cross multiply
    597.29x = 895.12 × 308.93
  4. Step 4: Simplify right side
    597.29x = 276,524.17
  5. Step 5: Solve for x
    x = 276,524.17/597.29
  6. Step 6: Final answer
    x = 462.97

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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.