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Finding the Fourth Proportional to 702.50, 969.35 and 407.79

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Solution

The fourth proportional to 702.50, 969.35 and 407.79 is: 562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 969.35 = 407.79 : x
  2. Step 2: Convert to fraction form
    702.50/969.35 = 407.79/x
  3. Step 3: Cross multiply
    702.50x = 969.35 × 407.79
  4. Step 4: Simplify right side
    702.50x = 395,289.20
  5. Step 5: Solve for x
    x = 395,289.20/702.50
  6. Step 6: Final answer
    x = 562.69

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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.