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Finding the Fourth Proportional to 364.92, 546.84 and 288.07

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Solution

The fourth proportional to 364.92, 546.84 and 288.07 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.92 : 546.84 = 288.07 : x
  2. Step 2: Convert to fraction form
    364.92/546.84 = 288.07/x
  3. Step 3: Cross multiply
    364.92x = 546.84 × 288.07
  4. Step 4: Simplify right side
    364.92x = 157,528.20
  5. Step 5: Solve for x
    x = 157,528.20/364.92
  6. Step 6: Final answer
    x = 431.68

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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.