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Finding the Fourth Proportional to 670.20, 924.50 and 408.18

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Solution

The fourth proportional to 670.20, 924.50 and 408.18 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.20 : 924.50 = 408.18 : x
  2. Step 2: Convert to fraction form
    670.20/924.50 = 408.18/x
  3. Step 3: Cross multiply
    670.20x = 924.50 × 408.18
  4. Step 4: Simplify right side
    670.20x = 377,362.41
  5. Step 5: Solve for x
    x = 377,362.41/670.20
  6. Step 6: Final answer
    x = 563.06

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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.