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Finding the Fourth Proportional to 500.28, 690.03 and 407.02

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Solution

The fourth proportional to 500.28, 690.03 and 407.02 is: 561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 690.03 = 407.02 : x
  2. Step 2: Convert to fraction form
    500.28/690.03 = 407.02/x
  3. Step 3: Cross multiply
    500.28x = 690.03 × 407.02
  4. Step 4: Simplify right side
    500.28x = 280,856.01
  5. Step 5: Solve for x
    x = 280,856.01/500.28
  6. Step 6: Final answer
    x = 561.40

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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.