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Finding the Fourth Proportional to 430.08, 592.86 and 274.56

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Solution

The fourth proportional to 430.08, 592.86 and 274.56 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.08 : 592.86 = 274.56 : x
  2. Step 2: Convert to fraction form
    430.08/592.86 = 274.56/x
  3. Step 3: Cross multiply
    430.08x = 592.86 × 274.56
  4. Step 4: Simplify right side
    430.08x = 162,775.64
  5. Step 5: Solve for x
    x = 162,775.64/430.08
  6. Step 6: Final answer
    x = 378.48

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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.