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Finding the Fourth Proportional to 470.48, 704.76 and 287.76

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Solution

The fourth proportional to 470.48, 704.76 and 287.76 is: 431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 704.76 = 287.76 : x
  2. Step 2: Convert to fraction form
    470.48/704.76 = 287.76/x
  3. Step 3: Cross multiply
    470.48x = 704.76 × 287.76
  4. Step 4: Simplify right side
    470.48x = 202,801.74
  5. Step 5: Solve for x
    x = 202,801.74/470.48
  6. Step 6: Final answer
    x = 431.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.