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Finding the Fourth Proportional to 340.63, 510.61 and 259.30

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Solution

The fourth proportional to 340.63, 510.61 and 259.30 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.63 : 510.61 = 259.30 : x
  2. Step 2: Convert to fraction form
    340.63/510.61 = 259.30/x
  3. Step 3: Cross multiply
    340.63x = 510.61 × 259.30
  4. Step 4: Simplify right side
    340.63x = 132,401.17
  5. Step 5: Solve for x
    x = 132,401.17/340.63
  6. Step 6: Final answer
    x = 388.69

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