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Finding the Fourth Proportional to 410.99, 567.06 and 233.95

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Solution

The fourth proportional to 410.99, 567.06 and 233.95 is: 322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 567.06 = 233.95 : x
  2. Step 2: Convert to fraction form
    410.99/567.06 = 233.95/x
  3. Step 3: Cross multiply
    410.99x = 567.06 × 233.95
  4. Step 4: Simplify right side
    410.99x = 132,663.52
  5. Step 5: Solve for x
    x = 132,663.52/410.99
  6. Step 6: Final answer
    x = 322.79

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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.