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Finding the Fourth Proportional to 597.92, 895.32 and 506.44

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Solution

The fourth proportional to 597.92, 895.32 and 506.44 is: 758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 895.32 = 506.44 : x
  2. Step 2: Convert to fraction form
    597.92/895.32 = 506.44/x
  3. Step 3: Cross multiply
    597.92x = 895.32 × 506.44
  4. Step 4: Simplify right side
    597.92x = 453,425.86
  5. Step 5: Solve for x
    x = 453,425.86/597.92
  6. Step 6: Final answer
    x = 758.34

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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.