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Finding the Fourth Proportional to 702.66, 969.64 and 407.91

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Solution

The fourth proportional to 702.66, 969.64 and 407.91 is: 562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.66 : 969.64 = 407.91 : x
  2. Step 2: Convert to fraction form
    702.66/969.64 = 407.91/x
  3. Step 3: Cross multiply
    702.66x = 969.64 × 407.91
  4. Step 4: Simplify right side
    702.66x = 395,525.85
  5. Step 5: Solve for x
    x = 395,525.85/702.66
  6. Step 6: Final answer
    x = 562.90

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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.