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Finding the Fourth Proportional to 723.05, 997.49 and 428.15

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Solution

The fourth proportional to 723.05, 997.49 and 428.15 is: 590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.05 : 997.49 = 428.15 : x
  2. Step 2: Convert to fraction form
    723.05/997.49 = 428.15/x
  3. Step 3: Cross multiply
    723.05x = 997.49 × 428.15
  4. Step 4: Simplify right side
    723.05x = 427,075.34
  5. Step 5: Solve for x
    x = 427,075.34/723.05
  6. Step 6: Final answer
    x = 590.66

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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.