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Finding the Fourth Proportional to 549.66, 758.16 and 360.66

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Solution

The fourth proportional to 549.66, 758.16 and 360.66 is: 497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 758.16 = 360.66 : x
  2. Step 2: Convert to fraction form
    549.66/758.16 = 360.66/x
  3. Step 3: Cross multiply
    549.66x = 758.16 × 360.66
  4. Step 4: Simplify right side
    549.66x = 273,437.99
  5. Step 5: Solve for x
    x = 273,437.99/549.66
  6. Step 6: Final answer
    x = 497.47

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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.