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Finding the Fourth Proportional to 340.06, 510.24 and 263.01

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Solution

The fourth proportional to 340.06, 510.24 and 263.01 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.06 : 510.24 = 263.01 : x
  2. Step 2: Convert to fraction form
    340.06/510.24 = 263.01/x
  3. Step 3: Cross multiply
    340.06x = 510.24 × 263.01
  4. Step 4: Simplify right side
    340.06x = 134,198.22
  5. Step 5: Solve for x
    x = 134,198.22/340.06
  6. Step 6: Final answer
    x = 394.63

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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.