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Finding the Fourth Proportional to 417.93, 625.06 and 341.38

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Solution

The fourth proportional to 417.93, 625.06 and 341.38 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.93 : 625.06 = 341.38 : x
  2. Step 2: Convert to fraction form
    417.93/625.06 = 341.38/x
  3. Step 3: Cross multiply
    417.93x = 625.06 × 341.38
  4. Step 4: Simplify right side
    417.93x = 213,382.98
  5. Step 5: Solve for x
    x = 213,382.98/417.93
  6. Step 6: Final answer
    x = 510.57

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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.