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Finding the Fourth Proportional to 549.95, 759.24 and 410.83

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Solution

The fourth proportional to 549.95, 759.24 and 410.83 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.95 : 759.24 = 410.83 : x
  2. Step 2: Convert to fraction form
    549.95/759.24 = 410.83/x
  3. Step 3: Cross multiply
    549.95x = 759.24 × 410.83
  4. Step 4: Simplify right side
    549.95x = 311,916.67
  5. Step 5: Solve for x
    x = 311,916.67/549.95
  6. Step 6: Final answer
    x = 567.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.