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Finding the Fourth Proportional to 596.95, 895.59 and 506.29

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Solution

The fourth proportional to 596.95, 895.59 and 506.29 is: 759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.95 : 895.59 = 506.29 : x
  2. Step 2: Convert to fraction form
    596.95/895.59 = 506.29/x
  3. Step 3: Cross multiply
    596.95x = 895.59 × 506.29
  4. Step 4: Simplify right side
    596.95x = 453,428.26
  5. Step 5: Solve for x
    x = 453,428.26/596.95
  6. Step 6: Final answer
    x = 759.57

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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.