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Finding the Fourth Proportional to 472.70, 707.70 and 363.80

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Solution

The fourth proportional to 472.70, 707.70 and 363.80 is: 544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 707.70 = 363.80 : x
  2. Step 2: Convert to fraction form
    472.70/707.70 = 363.80/x
  3. Step 3: Cross multiply
    472.70x = 707.70 × 363.80
  4. Step 4: Simplify right side
    472.70x = 257,461.26
  5. Step 5: Solve for x
    x = 257,461.26/472.70
  6. Step 6: Final answer
    x = 544.66

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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.