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Finding the Fourth Proportional to 487.11, 668.64 and 430.61

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Solution

The fourth proportional to 487.11, 668.64 and 430.61 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.11 : 668.64 = 430.61 : x
  2. Step 2: Convert to fraction form
    487.11/668.64 = 430.61/x
  3. Step 3: Cross multiply
    487.11x = 668.64 × 430.61
  4. Step 4: Simplify right side
    487.11x = 287,920.92
  5. Step 5: Solve for x
    x = 287,920.92/487.11
  6. Step 6: Final answer
    x = 591.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.