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Finding the Fourth Proportional to 509.22, 702.95 and 343.13

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Solution

The fourth proportional to 509.22, 702.95 and 343.13 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.22 : 702.95 = 343.13 : x
  2. Step 2: Convert to fraction form
    509.22/702.95 = 343.13/x
  3. Step 3: Cross multiply
    509.22x = 702.95 × 343.13
  4. Step 4: Simplify right side
    509.22x = 241,198.00
  5. Step 5: Solve for x
    x = 241,198.00/509.22
  6. Step 6: Final answer
    x = 473.66

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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.