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Finding the Fourth Proportional to 596.56, 895.20 and 459.94

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Solution

The fourth proportional to 596.56, 895.20 and 459.94 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.56 : 895.20 = 459.94 : x
  2. Step 2: Convert to fraction form
    596.56/895.20 = 459.94/x
  3. Step 3: Cross multiply
    596.56x = 895.20 × 459.94
  4. Step 4: Simplify right side
    596.56x = 411,738.29
  5. Step 5: Solve for x
    x = 411,738.29/596.56
  6. Step 6: Final answer
    x = 690.19

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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.