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Finding the Fourth Proportional to 410.14, 565.56 and 322.66

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Solution

The fourth proportional to 410.14, 565.56 and 322.66 is: 444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 565.56 = 322.66 : x
  2. Step 2: Convert to fraction form
    410.14/565.56 = 322.66/x
  3. Step 3: Cross multiply
    410.14x = 565.56 × 322.66
  4. Step 4: Simplify right side
    410.14x = 182,483.59
  5. Step 5: Solve for x
    x = 182,483.59/410.14
  6. Step 6: Final answer
    x = 444.93

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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.