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Finding the Fourth Proportional to 596.94, 895.29 and 322.98

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Solution

The fourth proportional to 596.94, 895.29 and 322.98 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 895.29 = 322.98 : x
  2. Step 2: Convert to fraction form
    596.94/895.29 = 322.98/x
  3. Step 3: Cross multiply
    596.94x = 895.29 × 322.98
  4. Step 4: Simplify right side
    596.94x = 289,160.76
  5. Step 5: Solve for x
    x = 289,160.76/596.94
  6. Step 6: Final answer
    x = 484.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.