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Finding the Fourth Proportional to 551.76, 760.62 and 420.54

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Solution

The fourth proportional to 551.76, 760.62 and 420.54 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 760.62 = 420.54 : x
  2. Step 2: Convert to fraction form
    551.76/760.62 = 420.54/x
  3. Step 3: Cross multiply
    551.76x = 760.62 × 420.54
  4. Step 4: Simplify right side
    551.76x = 319,871.13
  5. Step 5: Solve for x
    x = 319,871.13/551.76
  6. Step 6: Final answer
    x = 579.73

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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.