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Finding the Fourth Proportional to 430.78, 594.16 and 273.28

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Solution

The fourth proportional to 430.78, 594.16 and 273.28 is: 376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 594.16 = 273.28 : x
  2. Step 2: Convert to fraction form
    430.78/594.16 = 273.28/x
  3. Step 3: Cross multiply
    430.78x = 594.16 × 273.28
  4. Step 4: Simplify right side
    430.78x = 162,373.04
  5. Step 5: Solve for x
    x = 162,373.04/430.78
  6. Step 6: Final answer
    x = 376.92

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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.