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Finding the Fourth Proportional to 364.40, 549.62 and 340.40

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Solution

The fourth proportional to 364.40, 549.62 and 340.40 is: 513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 549.62 = 340.40 : x
  2. Step 2: Convert to fraction form
    364.40/549.62 = 340.40/x
  3. Step 3: Cross multiply
    364.40x = 549.62 × 340.40
  4. Step 4: Simplify right side
    364.40x = 187,090.65
  5. Step 5: Solve for x
    x = 187,090.65/364.40
  6. Step 6: Final answer
    x = 513.42

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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.