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Finding the Fourth Proportional to 365.60, 546.72 and 283.36

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Solution

The fourth proportional to 365.60, 546.72 and 283.36 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 546.72 = 283.36 : x
  2. Step 2: Convert to fraction form
    365.60/546.72 = 283.36/x
  3. Step 3: Cross multiply
    365.60x = 546.72 × 283.36
  4. Step 4: Simplify right side
    365.60x = 154,918.58
  5. Step 5: Solve for x
    x = 154,918.58/365.60
  6. Step 6: Final answer
    x = 423.74

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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.