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Finding the Fourth Proportional to 340.34, 509.91 and 202.98

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Solution

The fourth proportional to 340.34, 509.91 and 202.98 is: 304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 509.91 = 202.98 : x
  2. Step 2: Convert to fraction form
    340.34/509.91 = 202.98/x
  3. Step 3: Cross multiply
    340.34x = 509.91 × 202.98
  4. Step 4: Simplify right side
    340.34x = 103,501.53
  5. Step 5: Solve for x
    x = 103,501.53/340.34
  6. Step 6: Final answer
    x = 304.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.