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Finding the Fourth Proportional to 702.96, 970.20 and 419.52

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Solution

The fourth proportional to 702.96, 970.20 and 419.52 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.96 : 970.20 = 419.52 : x
  2. Step 2: Convert to fraction form
    702.96/970.20 = 419.52/x
  3. Step 3: Cross multiply
    702.96x = 970.20 × 419.52
  4. Step 4: Simplify right side
    702.96x = 407,018.30
  5. Step 5: Solve for x
    x = 407,018.30/702.96
  6. Step 6: Final answer
    x = 579.01

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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.