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Finding the Fourth Proportional to 518.93, 715.86 and 342.20

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Solution

The fourth proportional to 518.93, 715.86 and 342.20 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.93 : 715.86 = 342.20 : x
  2. Step 2: Convert to fraction form
    518.93/715.86 = 342.20/x
  3. Step 3: Cross multiply
    518.93x = 715.86 × 342.20
  4. Step 4: Simplify right side
    518.93x = 244,963.71
  5. Step 5: Solve for x
    x = 244,963.71/518.93
  6. Step 6: Final answer
    x = 472.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.