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Finding the Fourth Proportional to 508.86, 702.33 and 322.22

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Solution

The fourth proportional to 508.86, 702.33 and 322.22 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 702.33 = 322.22 : x
  2. Step 2: Convert to fraction form
    508.86/702.33 = 322.22/x
  3. Step 3: Cross multiply
    508.86x = 702.33 × 322.22
  4. Step 4: Simplify right side
    508.86x = 226,305.32
  5. Step 5: Solve for x
    x = 226,305.32/508.86
  6. Step 6: Final answer
    x = 444.73

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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.