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Finding the Fourth Proportional to 470.76, 649.86 and 354.36

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Solution

The fourth proportional to 470.76, 649.86 and 354.36 is: 489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 649.86 = 354.36 : x
  2. Step 2: Convert to fraction form
    470.76/649.86 = 354.36/x
  3. Step 3: Cross multiply
    470.76x = 649.86 × 354.36
  4. Step 4: Simplify right side
    470.76x = 230,284.39
  5. Step 5: Solve for x
    x = 230,284.39/470.76
  6. Step 6: Final answer
    x = 489.18

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Find fourth proportional to 235.38, 324.93 and 177.18
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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.