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Finding the Fourth Proportional to 670.92, 925.87 and 376.19

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Solution

The fourth proportional to 670.92, 925.87 and 376.19 is: 519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.92 : 925.87 = 376.19 : x
  2. Step 2: Convert to fraction form
    670.92/925.87 = 376.19/x
  3. Step 3: Cross multiply
    670.92x = 925.87 × 376.19
  4. Step 4: Simplify right side
    670.92x = 348,303.04
  5. Step 5: Solve for x
    x = 348,303.04/670.92
  6. Step 6: Final answer
    x = 519.14

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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.