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Finding the Fourth Proportional to 500.44, 690.68 and 417.40

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Solution

The fourth proportional to 500.44, 690.68 and 417.40 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.44 : 690.68 = 417.40 : x
  2. Step 2: Convert to fraction form
    500.44/690.68 = 417.40/x
  3. Step 3: Cross multiply
    500.44x = 690.68 × 417.40
  4. Step 4: Simplify right side
    500.44x = 288,289.83
  5. Step 5: Solve for x
    x = 288,289.83/500.44
  6. Step 6: Final answer
    x = 576.07

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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.