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Finding the Fourth Proportional to 655.32, 983.36 and 290.08

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Solution

The fourth proportional to 655.32, 983.36 and 290.08 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 983.36 = 290.08 : x
  2. Step 2: Convert to fraction form
    655.32/983.36 = 290.08/x
  3. Step 3: Cross multiply
    655.32x = 983.36 × 290.08
  4. Step 4: Simplify right side
    655.32x = 285,253.07
  5. Step 5: Solve for x
    x = 285,253.07/655.32
  6. Step 6: Final answer
    x = 435.29

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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.