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Finding the Fourth Proportional to 670.83, 925.71 and 376.08

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Solution

The fourth proportional to 670.83, 925.71 and 376.08 is: 518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.83 : 925.71 = 376.08 : x
  2. Step 2: Convert to fraction form
    670.83/925.71 = 376.08/x
  3. Step 3: Cross multiply
    670.83x = 925.71 × 376.08
  4. Step 4: Simplify right side
    670.83x = 348,141.02
  5. Step 5: Solve for x
    x = 348,141.02/670.83
  6. Step 6: Final answer
    x = 518.97

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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.