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Finding the Fourth Proportional to 705.23, 972.30 and 483.80

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Solution

The fourth proportional to 705.23, 972.30 and 483.80 is: 667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.23 : 972.30 = 483.80 : x
  2. Step 2: Convert to fraction form
    705.23/972.30 = 483.80/x
  3. Step 3: Cross multiply
    705.23x = 972.30 × 483.80
  4. Step 4: Simplify right side
    705.23x = 470,398.74
  5. Step 5: Solve for x
    x = 470,398.74/705.23
  6. Step 6: Final answer
    x = 667.01

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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.