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Finding the Fourth Proportional to 508.80, 759.84 and 404.04

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Solution

The fourth proportional to 508.80, 759.84 and 404.04 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.80 : 759.84 = 404.04 : x
  2. Step 2: Convert to fraction form
    508.80/759.84 = 404.04/x
  3. Step 3: Cross multiply
    508.80x = 759.84 × 404.04
  4. Step 4: Simplify right side
    508.80x = 307,005.75
  5. Step 5: Solve for x
    x = 307,005.75/508.80
  6. Step 6: Final answer
    x = 603.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.