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Finding the Fourth Proportional to 342.47, 511.22 and 317.09

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Solution

The fourth proportional to 342.47, 511.22 and 317.09 is: 473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.47 : 511.22 = 317.09 : x
  2. Step 2: Convert to fraction form
    342.47/511.22 = 317.09/x
  3. Step 3: Cross multiply
    342.47x = 511.22 × 317.09
  4. Step 4: Simplify right side
    342.47x = 162,101.16
  5. Step 5: Solve for x
    x = 162,101.16/342.47
  6. Step 6: Final answer
    x = 473.33

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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.