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Finding the Fourth Proportional to 410.88, 567.04 and 245.20

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Solution

The fourth proportional to 410.88, 567.04 and 245.20 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 567.04 = 245.20 : x
  2. Step 2: Convert to fraction form
    410.88/567.04 = 245.20/x
  3. Step 3: Cross multiply
    410.88x = 567.04 × 245.20
  4. Step 4: Simplify right side
    410.88x = 139,038.21
  5. Step 5: Solve for x
    x = 139,038.21/410.88
  6. Step 6: Final answer
    x = 338.39

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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.