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Finding the Fourth Proportional to 620.08, 855.98 and 433.84

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Solution

The fourth proportional to 620.08, 855.98 and 433.84 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.08 : 855.98 = 433.84 : x
  2. Step 2: Convert to fraction form
    620.08/855.98 = 433.84/x
  3. Step 3: Cross multiply
    620.08x = 855.98 × 433.84
  4. Step 4: Simplify right side
    620.08x = 371,358.36
  5. Step 5: Solve for x
    x = 371,358.36/620.08
  6. Step 6: Final answer
    x = 598.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.