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Finding the Fourth Proportional to 410.98, 567.16 and 245.28

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Solution

The fourth proportional to 410.98, 567.16 and 245.28 is: 338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.98 : 567.16 = 245.28 : x
  2. Step 2: Convert to fraction form
    410.98/567.16 = 245.28/x
  3. Step 3: Cross multiply
    410.98x = 567.16 × 245.28
  4. Step 4: Simplify right side
    410.98x = 139,113.00
  5. Step 5: Solve for x
    x = 139,113.00/410.98
  6. Step 6: Final answer
    x = 338.49

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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.