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Finding the Fourth Proportional to 411.32, 567.64 and 245.63

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Solution

The fourth proportional to 411.32, 567.64 and 245.63 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.32 : 567.64 = 245.63 : x
  2. Step 2: Convert to fraction form
    411.32/567.64 = 245.63/x
  3. Step 3: Cross multiply
    411.32x = 567.64 × 245.63
  4. Step 4: Simplify right side
    411.32x = 139,431.14
  5. Step 5: Solve for x
    x = 139,431.14/411.32
  6. Step 6: Final answer
    x = 338.98

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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.