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Finding the Fourth Proportional to 500.47, 690.78 and 313.84

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Solution

The fourth proportional to 500.47, 690.78 and 313.84 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.47 : 690.78 = 313.84 : x
  2. Step 2: Convert to fraction form
    500.47/690.78 = 313.84/x
  3. Step 3: Cross multiply
    500.47x = 690.78 × 313.84
  4. Step 4: Simplify right side
    500.47x = 216,794.40
  5. Step 5: Solve for x
    x = 216,794.40/500.47
  6. Step 6: Final answer
    x = 433.18

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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.