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Finding the Fourth Proportional to 561.33, 840.84 and 469.06

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Solution

The fourth proportional to 561.33, 840.84 and 469.06 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.33 : 840.84 = 469.06 : x
  2. Step 2: Convert to fraction form
    561.33/840.84 = 469.06/x
  3. Step 3: Cross multiply
    561.33x = 840.84 × 469.06
  4. Step 4: Simplify right side
    561.33x = 394,404.41
  5. Step 5: Solve for x
    x = 394,404.41/561.33
  6. Step 6: Final answer
    x = 702.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.