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Finding the Fourth Proportional to 702.50, 969.52 and 392.06

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Solution

The fourth proportional to 702.50, 969.52 and 392.06 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 969.52 = 392.06 : x
  2. Step 2: Convert to fraction form
    702.50/969.52 = 392.06/x
  3. Step 3: Cross multiply
    702.50x = 969.52 × 392.06
  4. Step 4: Simplify right side
    702.50x = 380,110.01
  5. Step 5: Solve for x
    x = 380,110.01/702.50
  6. Step 6: Final answer
    x = 541.08

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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.