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Finding the Fourth Proportional to 332.06, 497.49 and 258.68

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Solution

The fourth proportional to 332.06, 497.49 and 258.68 is: 387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.06 : 497.49 = 258.68 : x
  2. Step 2: Convert to fraction form
    332.06/497.49 = 258.68/x
  3. Step 3: Cross multiply
    332.06x = 497.49 × 258.68
  4. Step 4: Simplify right side
    332.06x = 128,690.71
  5. Step 5: Solve for x
    x = 128,690.71/332.06
  6. Step 6: Final answer
    x = 387.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.