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Finding the Fourth Proportional to 365.60, 547.59 and 283.80

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Solution

The fourth proportional to 365.60, 547.59 and 283.80 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 547.59 = 283.80 : x
  2. Step 2: Convert to fraction form
    365.60/547.59 = 283.80/x
  3. Step 3: Cross multiply
    365.60x = 547.59 × 283.80
  4. Step 4: Simplify right side
    365.60x = 155,406.04
  5. Step 5: Solve for x
    x = 155,406.04/365.60
  6. Step 6: Final answer
    x = 425.07

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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.