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Finding the Fourth Proportional to 500.40, 690.36 and 334.53

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Solution

The fourth proportional to 500.40, 690.36 and 334.53 is: 461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 690.36 = 334.53 : x
  2. Step 2: Convert to fraction form
    500.40/690.36 = 334.53/x
  3. Step 3: Cross multiply
    500.40x = 690.36 × 334.53
  4. Step 4: Simplify right side
    500.40x = 230,946.13
  5. Step 5: Solve for x
    x = 230,946.13/500.40
  6. Step 6: Final answer
    x = 461.52

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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.