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Finding the Fourth Proportional to 582.30, 873.52 and 365.76

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Solution

The fourth proportional to 582.30, 873.52 and 365.76 is: 548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.30 : 873.52 = 365.76 : x
  2. Step 2: Convert to fraction form
    582.30/873.52 = 365.76/x
  3. Step 3: Cross multiply
    582.30x = 873.52 × 365.76
  4. Step 4: Simplify right side
    582.30x = 319,498.68
  5. Step 5: Solve for x
    x = 319,498.68/582.30
  6. Step 6: Final answer
    x = 548.68

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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.