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Finding the Fourth Proportional to 702.34, 969.30 and 407.77

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Solution

The fourth proportional to 702.34, 969.30 and 407.77 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 969.30 = 407.77 : x
  2. Step 2: Convert to fraction form
    702.34/969.30 = 407.77/x
  3. Step 3: Cross multiply
    702.34x = 969.30 × 407.77
  4. Step 4: Simplify right side
    702.34x = 395,249.04
  5. Step 5: Solve for x
    x = 395,249.04/702.34
  6. Step 6: Final answer
    x = 562.76

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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.