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Finding the Fourth Proportional to 412.35, 568.62 and 403.41

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Solution

The fourth proportional to 412.35, 568.62 and 403.41 is: 556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 568.62 = 403.41 : x
  2. Step 2: Convert to fraction form
    412.35/568.62 = 403.41/x
  3. Step 3: Cross multiply
    412.35x = 568.62 × 403.41
  4. Step 4: Simplify right side
    412.35x = 229,386.99
  5. Step 5: Solve for x
    x = 229,386.99/412.35
  6. Step 6: Final answer
    x = 556.29

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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.