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Finding the Fourth Proportional to 582.05, 873.74 and 365.75

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Solution

The fourth proportional to 582.05, 873.74 and 365.75 is: 549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.05 : 873.74 = 365.75 : x
  2. Step 2: Convert to fraction form
    582.05/873.74 = 365.75/x
  3. Step 3: Cross multiply
    582.05x = 873.74 × 365.75
  4. Step 4: Simplify right side
    582.05x = 319,568.58
  5. Step 5: Solve for x
    x = 319,568.58/582.05
  6. Step 6: Final answer
    x = 549.04

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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.