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Finding the Fourth Proportional to 670.32, 1,004.88 and 237.42

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Solution

The fourth proportional to 670.32, 1,004.88 and 237.42 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.32 : 1,004.88 = 237.42 : x
  2. Step 2: Convert to fraction form
    670.32/1,004.88 = 237.42/x
  3. Step 3: Cross multiply
    670.32x = 1,004.88 × 237.42
  4. Step 4: Simplify right side
    670.32x = 238,578.61
  5. Step 5: Solve for x
    x = 238,578.61/670.32
  6. Step 6: Final answer
    x = 355.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.