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Finding the Fourth Proportional to 549.72, 824.58 and 358.56

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Solution

The fourth proportional to 549.72, 824.58 and 358.56 is: 537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 824.58 = 358.56 : x
  2. Step 2: Convert to fraction form
    549.72/824.58 = 358.56/x
  3. Step 3: Cross multiply
    549.72x = 824.58 × 358.56
  4. Step 4: Simplify right side
    549.72x = 295,661.40
  5. Step 5: Solve for x
    x = 295,661.40/549.72
  6. Step 6: Final answer
    x = 537.84

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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.