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Finding the Fourth Proportional to 655.77, 983.59 and 347.30

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Solution

The fourth proportional to 655.77, 983.59 and 347.30 is: 520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.77 : 983.59 = 347.30 : x
  2. Step 2: Convert to fraction form
    655.77/983.59 = 347.30/x
  3. Step 3: Cross multiply
    655.77x = 983.59 × 347.30
  4. Step 4: Simplify right side
    655.77x = 341,595.02
  5. Step 5: Solve for x
    x = 341,595.02/655.77
  6. Step 6: Final answer
    x = 520.91

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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.