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Finding the Fourth Proportional to 655.66, 982.72 and 470.53

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Solution

The fourth proportional to 655.66, 982.72 and 470.53 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.66 : 982.72 = 470.53 : x
  2. Step 2: Convert to fraction form
    655.66/982.72 = 470.53/x
  3. Step 3: Cross multiply
    655.66x = 982.72 × 470.53
  4. Step 4: Simplify right side
    655.66x = 462,399.24
  5. Step 5: Solve for x
    x = 462,399.24/655.66
  6. Step 6: Final answer
    x = 705.24

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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.