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Finding the Fourth Proportional to 410.69, 567.30 and 328.37

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Solution

The fourth proportional to 410.69, 567.30 and 328.37 is: 453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 567.30 = 328.37 : x
  2. Step 2: Convert to fraction form
    410.69/567.30 = 328.37/x
  3. Step 3: Cross multiply
    410.69x = 567.30 × 328.37
  4. Step 4: Simplify right side
    410.69x = 186,281.46
  5. Step 5: Solve for x
    x = 186,281.46/410.69
  6. Step 6: Final answer
    x = 453.59

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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.