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Finding the Fourth Proportional to 556.98, 768.15 and 417.42

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Solution

The fourth proportional to 556.98, 768.15 and 417.42 is: 575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 768.15 = 417.42 : x
  2. Step 2: Convert to fraction form
    556.98/768.15 = 417.42/x
  3. Step 3: Cross multiply
    556.98x = 768.15 × 417.42
  4. Step 4: Simplify right side
    556.98x = 320,641.17
  5. Step 5: Solve for x
    x = 320,641.17/556.98
  6. Step 6: Final answer
    x = 575.68

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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.