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Finding the Fourth Proportional to 340.60, 510.90 and 259.60

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Solution

The fourth proportional to 340.60, 510.90 and 259.60 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 510.90 = 259.60 : x
  2. Step 2: Convert to fraction form
    340.60/510.90 = 259.60/x
  3. Step 3: Cross multiply
    340.60x = 510.90 × 259.60
  4. Step 4: Simplify right side
    340.60x = 132,629.64
  5. Step 5: Solve for x
    x = 132,629.64/340.60
  6. Step 6: Final answer
    x = 389.40

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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.