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Finding the Fourth Proportional to 596.76, 895.34 and 288.65

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Solution

The fourth proportional to 596.76, 895.34 and 288.65 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 895.34 = 288.65 : x
  2. Step 2: Convert to fraction form
    596.76/895.34 = 288.65/x
  3. Step 3: Cross multiply
    596.76x = 895.34 × 288.65
  4. Step 4: Simplify right side
    596.76x = 258,439.89
  5. Step 5: Solve for x
    x = 258,439.89/596.76
  6. Step 6: Final answer
    x = 433.07

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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.