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Finding the Fourth Proportional to 702.68, 969.58 and 419.06

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Solution

The fourth proportional to 702.68, 969.58 and 419.06 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 969.58 = 419.06 : x
  2. Step 2: Convert to fraction form
    702.68/969.58 = 419.06/x
  3. Step 3: Cross multiply
    702.68x = 969.58 × 419.06
  4. Step 4: Simplify right side
    702.68x = 406,306.30
  5. Step 5: Solve for x
    x = 406,306.30/702.68
  6. Step 6: Final answer
    x = 578.23

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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.