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Finding the Fourth Proportional to 417.67, 575.85 and 286.45

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Solution

The fourth proportional to 417.67, 575.85 and 286.45 is: 394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.67 : 575.85 = 286.45 : x
  2. Step 2: Convert to fraction form
    417.67/575.85 = 286.45/x
  3. Step 3: Cross multiply
    417.67x = 575.85 × 286.45
  4. Step 4: Simplify right side
    417.67x = 164,952.23
  5. Step 5: Solve for x
    x = 164,952.23/417.67
  6. Step 6: Final answer
    x = 394.93

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