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Finding the Fourth Proportional to 470.48, 703.80 and 379.28

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Solution

The fourth proportional to 470.48, 703.80 and 379.28 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 703.80 = 379.28 : x
  2. Step 2: Convert to fraction form
    470.48/703.80 = 379.28/x
  3. Step 3: Cross multiply
    470.48x = 703.80 × 379.28
  4. Step 4: Simplify right side
    470.48x = 266,937.26
  5. Step 5: Solve for x
    x = 266,937.26/470.48
  6. Step 6: Final answer
    x = 567.37

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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.