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Finding the Fourth Proportional to 420.09, 578.12 and 407.97

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Solution

The fourth proportional to 420.09, 578.12 and 407.97 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 578.12 = 407.97 : x
  2. Step 2: Convert to fraction form
    420.09/578.12 = 407.97/x
  3. Step 3: Cross multiply
    420.09x = 578.12 × 407.97
  4. Step 4: Simplify right side
    420.09x = 235,853.58
  5. Step 5: Solve for x
    x = 235,853.58/420.09
  6. Step 6: Final answer
    x = 561.44

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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.