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Finding the Fourth Proportional to 549.32, 824.06 and 260.52

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Solution

The fourth proportional to 549.32, 824.06 and 260.52 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 824.06 = 260.52 : x
  2. Step 2: Convert to fraction form
    549.32/824.06 = 260.52/x
  3. Step 3: Cross multiply
    549.32x = 824.06 × 260.52
  4. Step 4: Simplify right side
    549.32x = 214,684.11
  5. Step 5: Solve for x
    x = 214,684.11/549.32
  6. Step 6: Final answer
    x = 390.82

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