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Finding the Fourth Proportional to 316.51, 472.64 and 258.85

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Solution

The fourth proportional to 316.51, 472.64 and 258.85 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.51 : 472.64 = 258.85 : x
  2. Step 2: Convert to fraction form
    316.51/472.64 = 258.85/x
  3. Step 3: Cross multiply
    316.51x = 472.64 × 258.85
  4. Step 4: Simplify right side
    316.51x = 122,342.86
  5. Step 5: Solve for x
    x = 122,342.86/316.51
  6. Step 6: Final answer
    x = 386.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.