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Finding the Fourth Proportional to 702.78, 970.14 and 423.06

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Solution

The fourth proportional to 702.78, 970.14 and 423.06 is: 584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 970.14 = 423.06 : x
  2. Step 2: Convert to fraction form
    702.78/970.14 = 423.06/x
  3. Step 3: Cross multiply
    702.78x = 970.14 × 423.06
  4. Step 4: Simplify right side
    702.78x = 410,427.43
  5. Step 5: Solve for x
    x = 410,427.43/702.78
  6. Step 6: Final answer
    x = 584.01

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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.