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Finding the Fourth Proportional to 702.04, 968.80 and 407.30

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Solution

The fourth proportional to 702.04, 968.80 and 407.30 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.04 : 968.80 = 407.30 : x
  2. Step 2: Convert to fraction form
    702.04/968.80 = 407.30/x
  3. Step 3: Cross multiply
    702.04x = 968.80 × 407.30
  4. Step 4: Simplify right side
    702.04x = 394,592.24
  5. Step 5: Solve for x
    x = 394,592.24/702.04
  6. Step 6: Final answer
    x = 562.07

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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.