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Finding the Fourth Proportional to 417.91, 577.05 and 416.99

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Solution

The fourth proportional to 417.91, 577.05 and 416.99 is: 575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.91 : 577.05 = 416.99 : x
  2. Step 2: Convert to fraction form
    417.91/577.05 = 416.99/x
  3. Step 3: Cross multiply
    417.91x = 577.05 × 416.99
  4. Step 4: Simplify right side
    417.91x = 240,624.08
  5. Step 5: Solve for x
    x = 240,624.08/417.91
  6. Step 6: Final answer
    x = 575.79

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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.