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Finding the Fourth Proportional to 364.96, 546.16 and 288.16

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Solution

The fourth proportional to 364.96, 546.16 and 288.16 is: 431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.96 : 546.16 = 288.16 : x
  2. Step 2: Convert to fraction form
    364.96/546.16 = 288.16/x
  3. Step 3: Cross multiply
    364.96x = 546.16 × 288.16
  4. Step 4: Simplify right side
    364.96x = 157,381.47
  5. Step 5: Solve for x
    x = 157,381.47/364.96
  6. Step 6: Final answer
    x = 431.23

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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.