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Finding the Fourth Proportional to 509.40, 702.36 and 343.98

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Solution

The fourth proportional to 509.40, 702.36 and 343.98 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 702.36 = 343.98 : x
  2. Step 2: Convert to fraction form
    509.40/702.36 = 343.98/x
  3. Step 3: Cross multiply
    509.40x = 702.36 × 343.98
  4. Step 4: Simplify right side
    509.40x = 241,597.79
  5. Step 5: Solve for x
    x = 241,597.79/509.40
  6. Step 6: Final answer
    x = 474.28

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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.