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Finding the Fourth Proportional to 508.92, 702.60 and 322.48

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Solution

The fourth proportional to 508.92, 702.60 and 322.48 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 702.60 = 322.48 : x
  2. Step 2: Convert to fraction form
    508.92/702.60 = 322.48/x
  3. Step 3: Cross multiply
    508.92x = 702.60 × 322.48
  4. Step 4: Simplify right side
    508.92x = 226,574.45
  5. Step 5: Solve for x
    x = 226,574.45/508.92
  6. Step 6: Final answer
    x = 445.21

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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.