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Finding the Fourth Proportional to 429.30, 592.20 and 274.14

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Solution

The fourth proportional to 429.30, 592.20 and 274.14 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 592.20 = 274.14 : x
  2. Step 2: Convert to fraction form
    429.30/592.20 = 274.14/x
  3. Step 3: Cross multiply
    429.30x = 592.20 × 274.14
  4. Step 4: Simplify right side
    429.30x = 162,345.71
  5. Step 5: Solve for x
    x = 162,345.71/429.30
  6. Step 6: Final answer
    x = 378.16

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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.