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Finding the Fourth Proportional to 500.40, 690.59 and 279.41

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Solution

The fourth proportional to 500.40, 690.59 and 279.41 is: 385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 690.59 = 279.41 : x
  2. Step 2: Convert to fraction form
    500.40/690.59 = 279.41/x
  3. Step 3: Cross multiply
    500.40x = 690.59 × 279.41
  4. Step 4: Simplify right side
    500.40x = 192,955.00
  5. Step 5: Solve for x
    x = 192,955.00/500.40
  6. Step 6: Final answer
    x = 385.60

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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.