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Finding the Fourth Proportional to 508.86, 702.34 and 322.23

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Solution

The fourth proportional to 508.86, 702.34 and 322.23 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 702.34 = 322.23 : x
  2. Step 2: Convert to fraction form
    508.86/702.34 = 322.23/x
  3. Step 3: Cross multiply
    508.86x = 702.34 × 322.23
  4. Step 4: Simplify right side
    508.86x = 226,315.02
  5. Step 5: Solve for x
    x = 226,315.02/508.86
  6. Step 6: Final answer
    x = 444.75

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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.