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Finding the Fourth Proportional to 655.32, 982.16 and 307.89

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Solution

The fourth proportional to 655.32, 982.16 and 307.89 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 982.16 = 307.89 : x
  2. Step 2: Convert to fraction form
    655.32/982.16 = 307.89/x
  3. Step 3: Cross multiply
    655.32x = 982.16 × 307.89
  4. Step 4: Simplify right side
    655.32x = 302,395.70
  5. Step 5: Solve for x
    x = 302,395.70/655.32
  6. Step 6: Final answer
    x = 461.45

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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.