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Finding the Fourth Proportional to 364.70, 549.84 and 360.62

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Solution

The fourth proportional to 364.70, 549.84 and 360.62 is: 543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 549.84 = 360.62 : x
  2. Step 2: Convert to fraction form
    364.70/549.84 = 360.62/x
  3. Step 3: Cross multiply
    364.70x = 549.84 × 360.62
  4. Step 4: Simplify right side
    364.70x = 198,283.30
  5. Step 5: Solve for x
    x = 198,283.30/364.70
  6. Step 6: Final answer
    x = 543.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.