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Finding the Fourth Proportional to 555.16, 764.76 and 424.12

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Solution

The fourth proportional to 555.16, 764.76 and 424.12 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 764.76 = 424.12 : x
  2. Step 2: Convert to fraction form
    555.16/764.76 = 424.12/x
  3. Step 3: Cross multiply
    555.16x = 764.76 × 424.12
  4. Step 4: Simplify right side
    555.16x = 324,350.01
  5. Step 5: Solve for x
    x = 324,350.01/555.16
  6. Step 6: Final answer
    x = 584.25

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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.