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Finding the Fourth Proportional to 690.39, 952.38 and 427.95

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Solution

The fourth proportional to 690.39, 952.38 and 427.95 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.39 : 952.38 = 427.95 : x
  2. Step 2: Convert to fraction form
    690.39/952.38 = 427.95/x
  3. Step 3: Cross multiply
    690.39x = 952.38 × 427.95
  4. Step 4: Simplify right side
    690.39x = 407,571.02
  5. Step 5: Solve for x
    x = 407,571.02/690.39
  6. Step 6: Final answer
    x = 590.35

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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.