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Finding the Fourth Proportional to 670.12, 924.70 and 375.37

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Solution

The fourth proportional to 670.12, 924.70 and 375.37 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.12 : 924.70 = 375.37 : x
  2. Step 2: Convert to fraction form
    670.12/924.70 = 375.37/x
  3. Step 3: Cross multiply
    670.12x = 924.70 × 375.37
  4. Step 4: Simplify right side
    670.12x = 347,098.14
  5. Step 5: Solve for x
    x = 347,098.14/670.12
  6. Step 6: Final answer
    x = 517.97

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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.