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Finding the Fourth Proportional to 702.36, 968.98 and 480.93

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Solution

The fourth proportional to 702.36, 968.98 and 480.93 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 968.98 = 480.93 : x
  2. Step 2: Convert to fraction form
    702.36/968.98 = 480.93/x
  3. Step 3: Cross multiply
    702.36x = 968.98 × 480.93
  4. Step 4: Simplify right side
    702.36x = 466,011.55
  5. Step 5: Solve for x
    x = 466,011.55/702.36
  6. Step 6: Final answer
    x = 663.49

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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.