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Finding the Fourth Proportional to 430.26, 642.27 and 378.36

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Solution

The fourth proportional to 430.26, 642.27 and 378.36 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.26 : 642.27 = 378.36 : x
  2. Step 2: Convert to fraction form
    430.26/642.27 = 378.36/x
  3. Step 3: Cross multiply
    430.26x = 642.27 × 378.36
  4. Step 4: Simplify right side
    430.26x = 243,009.28
  5. Step 5: Solve for x
    x = 243,009.28/430.26
  6. Step 6: Final answer
    x = 564.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.