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Finding the Fourth Proportional to 549.78, 824.40 and 524.40

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Solution

The fourth proportional to 549.78, 824.40 and 524.40 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.78 : 824.40 = 524.40 : x
  2. Step 2: Convert to fraction form
    549.78/824.40 = 524.40/x
  3. Step 3: Cross multiply
    549.78x = 824.40 × 524.40
  4. Step 4: Simplify right side
    549.78x = 432,315.36
  5. Step 5: Solve for x
    x = 432,315.36/549.78
  6. Step 6: Final answer
    x = 786.34

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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.