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Finding the Fourth Proportional to 503.92, 690.20 and 474.40

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Solution

The fourth proportional to 503.92, 690.20 and 474.40 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 690.20 = 474.40 : x
  2. Step 2: Convert to fraction form
    503.92/690.20 = 474.40/x
  3. Step 3: Cross multiply
    503.92x = 690.20 × 474.40
  4. Step 4: Simplify right side
    503.92x = 327,430.88
  5. Step 5: Solve for x
    x = 327,430.88/503.92
  6. Step 6: Final answer
    x = 649.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.