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Finding the Fourth Proportional to 417.51, 575.90 and 286.59

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Solution

The fourth proportional to 417.51, 575.90 and 286.59 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 575.90 = 286.59 : x
  2. Step 2: Convert to fraction form
    417.51/575.90 = 286.59/x
  3. Step 3: Cross multiply
    417.51x = 575.90 × 286.59
  4. Step 4: Simplify right side
    417.51x = 165,045.75
  5. Step 5: Solve for x
    x = 165,045.75/417.51
  6. Step 6: Final answer
    x = 395.31

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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.