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Finding the Fourth Proportional to 407.20, 569 and 407.20

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Solution

The fourth proportional to 407.20, 569 and 407.20 is: 569

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.20 : 569 = 407.20 : x
  2. Step 2: Convert to fraction form
    407.20/569 = 407.20/x
  3. Step 3: Cross multiply
    407.20x = 569 × 407.20
  4. Step 4: Simplify right side
    407.20x = 231,696.80
  5. Step 5: Solve for x
    x = 231,696.80/407.20
  6. Step 6: Final answer
    x = 569

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.