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Finding the Fourth Proportional to 470.58, 649.38 and 260.76

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Solution

The fourth proportional to 470.58, 649.38 and 260.76 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.58 : 649.38 = 260.76 : x
  2. Step 2: Convert to fraction form
    470.58/649.38 = 260.76/x
  3. Step 3: Cross multiply
    470.58x = 649.38 × 260.76
  4. Step 4: Simplify right side
    470.58x = 169,334.60
  5. Step 5: Solve for x
    x = 169,334.60/470.58
  6. Step 6: Final answer
    x = 359.84

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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.