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Finding the Fourth Proportional to 470.02, 647.04 and 404.14

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Solution

The fourth proportional to 470.02, 647.04 and 404.14 is: 556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 647.04 = 404.14 : x
  2. Step 2: Convert to fraction form
    470.02/647.04 = 404.14/x
  3. Step 3: Cross multiply
    470.02x = 647.04 × 404.14
  4. Step 4: Simplify right side
    470.02x = 261,494.75
  5. Step 5: Solve for x
    x = 261,494.75/470.02
  6. Step 6: Final answer
    x = 556.35

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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.