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Finding the Fourth Proportional to 398.52, 549.90 and 299.00

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Solution

The fourth proportional to 398.52, 549.90 and 299.00 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 549.90 = 299.00 : x
  2. Step 2: Convert to fraction form
    398.52/549.90 = 299.00/x
  3. Step 3: Cross multiply
    398.52x = 549.90 × 299.00
  4. Step 4: Simplify right side
    398.52x = 164,421.47
  5. Step 5: Solve for x
    x = 164,421.47/398.52
  6. Step 6: Final answer
    x = 412.58

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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.