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Finding the Fourth Proportional to 404.49, 605.10 and 342.93

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Solution

The fourth proportional to 404.49, 605.10 and 342.93 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.49 : 605.10 = 342.93 : x
  2. Step 2: Convert to fraction form
    404.49/605.10 = 342.93/x
  3. Step 3: Cross multiply
    404.49x = 605.10 × 342.93
  4. Step 4: Simplify right side
    404.49x = 207,506.94
  5. Step 5: Solve for x
    x = 207,506.94/404.49
  6. Step 6: Final answer
    x = 513.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.