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Finding the Fourth Proportional to 549.17, 822.67 and 457.58

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Solution

The fourth proportional to 549.17, 822.67 and 457.58 is: 685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.17 : 822.67 = 457.58 : x
  2. Step 2: Convert to fraction form
    549.17/822.67 = 457.58/x
  3. Step 3: Cross multiply
    549.17x = 822.67 × 457.58
  4. Step 4: Simplify right side
    549.17x = 376,437.34
  5. Step 5: Solve for x
    x = 376,437.34/549.17
  6. Step 6: Final answer
    x = 685.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.