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Finding the Fourth Proportional to 596, 894 and 288.11

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Solution

The fourth proportional to 596, 894 and 288.11 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 894 = 288.11 : x
  2. Step 2: Convert to fraction form
    596/894 = 288.11/x
  3. Step 3: Cross multiply
    596x = 894 × 288.11
  4. Step 4: Simplify right side
    596x = 257,570.34
  5. Step 5: Solve for x
    x = 257,570.34/596
  6. Step 6: Final answer
    x = 432.17

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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.