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Finding the Fourth Proportional to 340.49, 510.23 and 306.07

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Solution

The fourth proportional to 340.49, 510.23 and 306.07 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.49 : 510.23 = 306.07 : x
  2. Step 2: Convert to fraction form
    340.49/510.23 = 306.07/x
  3. Step 3: Cross multiply
    340.49x = 510.23 × 306.07
  4. Step 4: Simplify right side
    340.49x = 156,165.59
  5. Step 5: Solve for x
    x = 156,165.59/340.49
  6. Step 6: Final answer
    x = 458.65

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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.