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Finding the Fourth Proportional to 465.77, 642.79 and 258.77

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Solution

The fourth proportional to 465.77, 642.79 and 258.77 is: 357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.77 : 642.79 = 258.77 : x
  2. Step 2: Convert to fraction form
    465.77/642.79 = 258.77/x
  3. Step 3: Cross multiply
    465.77x = 642.79 × 258.77
  4. Step 4: Simplify right side
    465.77x = 166,333.47
  5. Step 5: Solve for x
    x = 166,333.47/465.77
  6. Step 6: Final answer
    x = 357.12

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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.