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Finding the Fourth Proportional to 702.83, 970.00 and 408.12

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Solution

The fourth proportional to 702.83, 970.00 and 408.12 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.83 : 970.00 = 408.12 : x
  2. Step 2: Convert to fraction form
    702.83/970.00 = 408.12/x
  3. Step 3: Cross multiply
    702.83x = 970.00 × 408.12
  4. Step 4: Simplify right side
    702.83x = 395,871.74
  5. Step 5: Solve for x
    x = 395,871.74/702.83
  6. Step 6: Final answer
    x = 563.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.