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Finding the Fourth Proportional to 595.92, 822.74 and 409.34

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Solution

The fourth proportional to 595.92, 822.74 and 409.34 is: 565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 822.74 = 409.34 : x
  2. Step 2: Convert to fraction form
    595.92/822.74 = 409.34/x
  3. Step 3: Cross multiply
    595.92x = 822.74 × 409.34
  4. Step 4: Simplify right side
    595.92x = 336,780.39
  5. Step 5: Solve for x
    x = 336,780.39/595.92
  6. Step 6: Final answer
    x = 565.14

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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.