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Finding the Fourth Proportional to 364.32, 546.93 and 286.47

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Solution

The fourth proportional to 364.32, 546.93 and 286.47 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 546.93 = 286.47 : x
  2. Step 2: Convert to fraction form
    364.32/546.93 = 286.47/x
  3. Step 3: Cross multiply
    364.32x = 546.93 × 286.47
  4. Step 4: Simplify right side
    364.32x = 156,679.04
  5. Step 5: Solve for x
    x = 156,679.04/364.32
  6. Step 6: Final answer
    x = 430.06

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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.