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Finding the Fourth Proportional to 556.43, 767.07 and 423.63

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Solution

The fourth proportional to 556.43, 767.07 and 423.63 is: 584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.43 : 767.07 = 423.63 : x
  2. Step 2: Convert to fraction form
    556.43/767.07 = 423.63/x
  3. Step 3: Cross multiply
    556.43x = 767.07 × 423.63
  4. Step 4: Simplify right side
    556.43x = 324,953.86
  5. Step 5: Solve for x
    x = 324,953.86/556.43
  6. Step 6: Final answer
    x = 584.00

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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.