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Finding the Fourth Proportional to 651.11, 898.70 and 412.36

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Solution

The fourth proportional to 651.11, 898.70 and 412.36 is: 569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.11 : 898.70 = 412.36 : x
  2. Step 2: Convert to fraction form
    651.11/898.70 = 412.36/x
  3. Step 3: Cross multiply
    651.11x = 898.70 × 412.36
  4. Step 4: Simplify right side
    651.11x = 370,583.62
  5. Step 5: Solve for x
    x = 370,583.62/651.11
  6. Step 6: Final answer
    x = 569.16

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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.