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Finding the Fourth Proportional to 542.10, 811.80 and 404.40

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Solution

The fourth proportional to 542.10, 811.80 and 404.40 is: 605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 811.80 = 404.40 : x
  2. Step 2: Convert to fraction form
    542.10/811.80 = 404.40/x
  3. Step 3: Cross multiply
    542.10x = 811.80 × 404.40
  4. Step 4: Simplify right side
    542.10x = 328,291.92
  5. Step 5: Solve for x
    x = 328,291.92/542.10
  6. Step 6: Final answer
    x = 605.59

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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.