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Finding the Fourth Proportional to 670.05, 924.80 and 408.06

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Solution

The fourth proportional to 670.05, 924.80 and 408.06 is: 563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.05 : 924.80 = 408.06 : x
  2. Step 2: Convert to fraction form
    670.05/924.80 = 408.06/x
  3. Step 3: Cross multiply
    670.05x = 924.80 × 408.06
  4. Step 4: Simplify right side
    670.05x = 377,371.85
  5. Step 5: Solve for x
    x = 377,371.85/670.05
  6. Step 6: Final answer
    x = 563.20

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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.