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Finding the Fourth Proportional to 596.64, 895.76 and 322.88

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Solution

The fourth proportional to 596.64, 895.76 and 322.88 is: 484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 895.76 = 322.88 : x
  2. Step 2: Convert to fraction form
    596.64/895.76 = 322.88/x
  3. Step 3: Cross multiply
    596.64x = 895.76 × 322.88
  4. Step 4: Simplify right side
    596.64x = 289,222.99
  5. Step 5: Solve for x
    x = 289,222.99/596.64
  6. Step 6: Final answer
    x = 484.75

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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.