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Finding the Fourth Proportional to 491.64, 679.14 and 432.54

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Solution

The fourth proportional to 491.64, 679.14 and 432.54 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 679.14 = 432.54 : x
  2. Step 2: Convert to fraction form
    491.64/679.14 = 432.54/x
  3. Step 3: Cross multiply
    491.64x = 679.14 × 432.54
  4. Step 4: Simplify right side
    491.64x = 293,755.22
  5. Step 5: Solve for x
    x = 293,755.22/491.64
  6. Step 6: Final answer
    x = 597.50

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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.