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Finding the Fourth Proportional to 411.65, 577.75 and 411.65

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Solution

The fourth proportional to 411.65, 577.75 and 411.65 is: 577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.65 : 577.75 = 411.65 : x
  2. Step 2: Convert to fraction form
    411.65/577.75 = 411.65/x
  3. Step 3: Cross multiply
    411.65x = 577.75 × 411.65
  4. Step 4: Simplify right side
    411.65x = 237,830.79
  5. Step 5: Solve for x
    x = 237,830.79/411.65
  6. Step 6: Final answer
    x = 577.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.