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Finding the Fourth Proportional to 410.23, 565.96 and 322.05

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Solution

The fourth proportional to 410.23, 565.96 and 322.05 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 565.96 = 322.05 : x
  2. Step 2: Convert to fraction form
    410.23/565.96 = 322.05/x
  3. Step 3: Cross multiply
    410.23x = 565.96 × 322.05
  4. Step 4: Simplify right side
    410.23x = 182,267.42
  5. Step 5: Solve for x
    x = 182,267.42/410.23
  6. Step 6: Final answer
    x = 444.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.