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Finding the Fourth Proportional to 614.90, 922.80 and 409.40

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Solution

The fourth proportional to 614.90, 922.80 and 409.40 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.90 : 922.80 = 409.40 : x
  2. Step 2: Convert to fraction form
    614.90/922.80 = 409.40/x
  3. Step 3: Cross multiply
    614.90x = 922.80 × 409.40
  4. Step 4: Simplify right side
    614.90x = 377,794.32
  5. Step 5: Solve for x
    x = 377,794.32/614.90
  6. Step 6: Final answer
    x = 614.40

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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.