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Finding the Fourth Proportional to 410.60, 565.98 and 323.16

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Solution

The fourth proportional to 410.60, 565.98 and 323.16 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 565.98 = 323.16 : x
  2. Step 2: Convert to fraction form
    410.60/565.98 = 323.16/x
  3. Step 3: Cross multiply
    410.60x = 565.98 × 323.16
  4. Step 4: Simplify right side
    410.60x = 182,902.10
  5. Step 5: Solve for x
    x = 182,902.10/410.60
  6. Step 6: Final answer
    x = 445.45

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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.