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Finding the Fourth Proportional to 420.04, 578.50 and 346.33

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Solution

The fourth proportional to 420.04, 578.50 and 346.33 is: 476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 578.50 = 346.33 : x
  2. Step 2: Convert to fraction form
    420.04/578.50 = 346.33/x
  3. Step 3: Cross multiply
    420.04x = 578.50 × 346.33
  4. Step 4: Simplify right side
    420.04x = 200,351.91
  5. Step 5: Solve for x
    x = 200,351.91/420.04
  6. Step 6: Final answer
    x = 476.98

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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.