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Finding the Fourth Proportional to 469.06, 702.72 and 322.81

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Solution

The fourth proportional to 469.06, 702.72 and 322.81 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 702.72 = 322.81 : x
  2. Step 2: Convert to fraction form
    469.06/702.72 = 322.81/x
  3. Step 3: Cross multiply
    469.06x = 702.72 × 322.81
  4. Step 4: Simplify right side
    469.06x = 226,845.04
  5. Step 5: Solve for x
    x = 226,845.04/469.06
  6. Step 6: Final answer
    x = 483.62

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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.