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Finding the Fourth Proportional to 595.28, 822.12 and 409.25

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Solution

The fourth proportional to 595.28, 822.12 and 409.25 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 822.12 = 409.25 : x
  2. Step 2: Convert to fraction form
    595.28/822.12 = 409.25/x
  3. Step 3: Cross multiply
    595.28x = 822.12 × 409.25
  4. Step 4: Simplify right side
    595.28x = 336,452.61
  5. Step 5: Solve for x
    x = 336,452.61/595.28
  6. Step 6: Final answer
    x = 565.20

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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.