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Finding the Fourth Proportional to 468.86, 646.67 and 358.59

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Solution

The fourth proportional to 468.86, 646.67 and 358.59 is: 494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.86 : 646.67 = 358.59 : x
  2. Step 2: Convert to fraction form
    468.86/646.67 = 358.59/x
  3. Step 3: Cross multiply
    468.86x = 646.67 × 358.59
  4. Step 4: Simplify right side
    468.86x = 231,887.60
  5. Step 5: Solve for x
    x = 231,887.60/468.86
  6. Step 6: Final answer
    x = 494.58

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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.