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Finding the Fourth Proportional to 702.84, 969.93 and 423.24

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Solution

The fourth proportional to 702.84, 969.93 and 423.24 is: 584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 969.93 = 423.24 : x
  2. Step 2: Convert to fraction form
    702.84/969.93 = 423.24/x
  3. Step 3: Cross multiply
    702.84x = 969.93 × 423.24
  4. Step 4: Simplify right side
    702.84x = 410,513.17
  5. Step 5: Solve for x
    x = 410,513.17/702.84
  6. Step 6: Final answer
    x = 584.08

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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.