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Finding the Fourth Proportional to 690.49, 952.95 and 428.37

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Solution

The fourth proportional to 690.49, 952.95 and 428.37 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.49 : 952.95 = 428.37 : x
  2. Step 2: Convert to fraction form
    690.49/952.95 = 428.37/x
  3. Step 3: Cross multiply
    690.49x = 952.95 × 428.37
  4. Step 4: Simplify right side
    690.49x = 408,215.19
  5. Step 5: Solve for x
    x = 408,215.19/690.49
  6. Step 6: Final answer
    x = 591.20

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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.