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Finding the Fourth Proportional to 690.21, 952.02 and 427.77

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Solution

The fourth proportional to 690.21, 952.02 and 427.77 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.21 : 952.02 = 427.77 : x
  2. Step 2: Convert to fraction form
    690.21/952.02 = 427.77/x
  3. Step 3: Cross multiply
    690.21x = 952.02 × 427.77
  4. Step 4: Simplify right side
    690.21x = 407,245.60
  5. Step 5: Solve for x
    x = 407,245.60/690.21
  6. Step 6: Final answer
    x = 590.03

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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.