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Finding the Fourth Proportional to 500.40, 690.79 and 313.99

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Solution

The fourth proportional to 500.40, 690.79 and 313.99 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 690.79 = 313.99 : x
  2. Step 2: Convert to fraction form
    500.40/690.79 = 313.99/x
  3. Step 3: Cross multiply
    500.40x = 690.79 × 313.99
  4. Step 4: Simplify right side
    500.40x = 216,897.70
  5. Step 5: Solve for x
    x = 216,897.70/500.40
  6. Step 6: Final answer
    x = 433.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.