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Finding the Fourth Proportional to 575.88, 795.54 and 549.24

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Solution

The fourth proportional to 575.88, 795.54 and 549.24 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.88 : 795.54 = 549.24 : x
  2. Step 2: Convert to fraction form
    575.88/795.54 = 549.24/x
  3. Step 3: Cross multiply
    575.88x = 795.54 × 549.24
  4. Step 4: Simplify right side
    575.88x = 436,942.39
  5. Step 5: Solve for x
    x = 436,942.39/575.88
  6. Step 6: Final answer
    x = 758.74

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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.