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Finding the Fourth Proportional to 409.16, 612.68 and 355.07

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Solution

The fourth proportional to 409.16, 612.68 and 355.07 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 612.68 = 355.07 : x
  2. Step 2: Convert to fraction form
    409.16/612.68 = 355.07/x
  3. Step 3: Cross multiply
    409.16x = 612.68 × 355.07
  4. Step 4: Simplify right side
    409.16x = 217,539.45
  5. Step 5: Solve for x
    x = 217,539.45/409.16
  6. Step 6: Final answer
    x = 531.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.