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Finding the Fourth Proportional to 702.86, 970.35 and 467.13

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Solution

The fourth proportional to 702.86, 970.35 and 467.13 is: 644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.86 : 970.35 = 467.13 : x
  2. Step 2: Convert to fraction form
    702.86/970.35 = 467.13/x
  3. Step 3: Cross multiply
    702.86x = 970.35 × 467.13
  4. Step 4: Simplify right side
    702.86x = 453,279.60
  5. Step 5: Solve for x
    x = 453,279.60/702.86
  6. Step 6: Final answer
    x = 644.91

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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.