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Finding the Fourth Proportional to 557.02, 768.56 and 424.21

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Solution

The fourth proportional to 557.02, 768.56 and 424.21 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 768.56 = 424.21 : x
  2. Step 2: Convert to fraction form
    557.02/768.56 = 424.21/x
  3. Step 3: Cross multiply
    557.02x = 768.56 × 424.21
  4. Step 4: Simplify right side
    557.02x = 326,024.87
  5. Step 5: Solve for x
    x = 326,024.87/557.02
  6. Step 6: Final answer
    x = 585.31

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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.