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Finding the Fourth Proportional to 477.24, 714.90 and 404.60

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Solution

The fourth proportional to 477.24, 714.90 and 404.60 is: 606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 714.90 = 404.60 : x
  2. Step 2: Convert to fraction form
    477.24/714.90 = 404.60/x
  3. Step 3: Cross multiply
    477.24x = 714.90 × 404.60
  4. Step 4: Simplify right side
    477.24x = 289,248.54
  5. Step 5: Solve for x
    x = 289,248.54/477.24
  6. Step 6: Final answer
    x = 606.09

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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.