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Finding the Fourth Proportional to 341.65, 512.10 and 260.23

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Solution

The fourth proportional to 341.65, 512.10 and 260.23 is: 390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.65 : 512.10 = 260.23 : x
  2. Step 2: Convert to fraction form
    341.65/512.10 = 260.23/x
  3. Step 3: Cross multiply
    341.65x = 512.10 × 260.23
  4. Step 4: Simplify right side
    341.65x = 133,263.78
  5. Step 5: Solve for x
    x = 133,263.78/341.65
  6. Step 6: Final answer
    x = 390.06

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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.