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Finding the Fourth Proportional to 500.60, 690.60 and 303.77

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Solution

The fourth proportional to 500.60, 690.60 and 303.77 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.60 : 690.60 = 303.77 : x
  2. Step 2: Convert to fraction form
    500.60/690.60 = 303.77/x
  3. Step 3: Cross multiply
    500.60x = 690.60 × 303.77
  4. Step 4: Simplify right side
    500.60x = 209,780.11
  5. Step 5: Solve for x
    x = 209,780.11/500.60
  6. Step 6: Final answer
    x = 419.06

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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.