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Finding the Fourth Proportional to 342.47, 511.49 and 340.08

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Solution

The fourth proportional to 342.47, 511.49 and 340.08 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.47 : 511.49 = 340.08 : x
  2. Step 2: Convert to fraction form
    342.47/511.49 = 340.08/x
  3. Step 3: Cross multiply
    342.47x = 511.49 × 340.08
  4. Step 4: Simplify right side
    342.47x = 173,945.82
  5. Step 5: Solve for x
    x = 173,945.82/342.47
  6. Step 6: Final answer
    x = 507.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.