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Finding the Fourth Proportional to 702.68, 969.68 and 392.16

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Solution

The fourth proportional to 702.68, 969.68 and 392.16 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 969.68 = 392.16 : x
  2. Step 2: Convert to fraction form
    702.68/969.68 = 392.16/x
  3. Step 3: Cross multiply
    702.68x = 969.68 × 392.16
  4. Step 4: Simplify right side
    702.68x = 380,269.71
  5. Step 5: Solve for x
    x = 380,269.71/702.68
  6. Step 6: Final answer
    x = 541.17

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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.