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Finding the Fourth Proportional to 596.80, 895.52 and 322.72

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Solution

The fourth proportional to 596.80, 895.52 and 322.72 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.80 : 895.52 = 322.72 : x
  2. Step 2: Convert to fraction form
    596.80/895.52 = 322.72/x
  3. Step 3: Cross multiply
    596.80x = 895.52 × 322.72
  4. Step 4: Simplify right side
    596.80x = 289,002.21
  5. Step 5: Solve for x
    x = 289,002.21/596.80
  6. Step 6: Final answer
    x = 484.25

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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.