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Finding the Fourth Proportional to 470.76, 649.61 and 284.28

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Solution

The fourth proportional to 470.76, 649.61 and 284.28 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 649.61 = 284.28 : x
  2. Step 2: Convert to fraction form
    470.76/649.61 = 284.28/x
  3. Step 3: Cross multiply
    470.76x = 649.61 × 284.28
  4. Step 4: Simplify right side
    470.76x = 184,669.71
  5. Step 5: Solve for x
    x = 184,669.71/470.76
  6. Step 6: Final answer
    x = 392.28

Related Problems

Find fourth proportional to 235.38, 324.80 and 142.14
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Double scale
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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.