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Finding the Fourth Proportional to 470.93, 649.89 and 284.42

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Solution

The fourth proportional to 470.93, 649.89 and 284.42 is: 392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 649.89 = 284.42 : x
  2. Step 2: Convert to fraction form
    470.93/649.89 = 284.42/x
  3. Step 3: Cross multiply
    470.93x = 649.89 × 284.42
  4. Step 4: Simplify right side
    470.93x = 184,841.71
  5. Step 5: Solve for x
    x = 184,841.71/470.93
  6. Step 6: Final answer
    x = 392.50

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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.