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Finding the Fourth Proportional to 702.29, 968.95 and 407.45

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Solution

The fourth proportional to 702.29, 968.95 and 407.45 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.29 : 968.95 = 407.45 : x
  2. Step 2: Convert to fraction form
    702.29/968.95 = 407.45/x
  3. Step 3: Cross multiply
    702.29x = 968.95 × 407.45
  4. Step 4: Simplify right side
    702.29x = 394,798.68
  5. Step 5: Solve for x
    x = 394,798.68/702.29
  6. Step 6: Final answer
    x = 562.16

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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.