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Finding the Fourth Proportional to 582.52, 873.30 and 365.80

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Solution

The fourth proportional to 582.52, 873.30 and 365.80 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 873.30 = 365.80 : x
  2. Step 2: Convert to fraction form
    582.52/873.30 = 365.80/x
  3. Step 3: Cross multiply
    582.52x = 873.30 × 365.80
  4. Step 4: Simplify right side
    582.52x = 319,453.14
  5. Step 5: Solve for x
    x = 319,453.14/582.52
  6. Step 6: Final answer
    x = 548.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.