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Finding the Fourth Proportional to 598.33, 896.82 and 305.01

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Solution

The fourth proportional to 598.33, 896.82 and 305.01 is: 457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.33 : 896.82 = 305.01 : x
  2. Step 2: Convert to fraction form
    598.33/896.82 = 305.01/x
  3. Step 3: Cross multiply
    598.33x = 896.82 × 305.01
  4. Step 4: Simplify right side
    598.33x = 273,536.06
  5. Step 5: Solve for x
    x = 273,536.06/598.33
  6. Step 6: Final answer
    x = 457.17

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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.