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Finding the Fourth Proportional to 670.74, 925.40 and 422.09

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Solution

The fourth proportional to 670.74, 925.40 and 422.09 is: 582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.74 : 925.40 = 422.09 : x
  2. Step 2: Convert to fraction form
    670.74/925.40 = 422.09/x
  3. Step 3: Cross multiply
    670.74x = 925.40 × 422.09
  4. Step 4: Simplify right side
    670.74x = 390,602.09
  5. Step 5: Solve for x
    x = 390,602.09/670.74
  6. Step 6: Final answer
    x = 582.35

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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.