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Finding the Fourth Proportional to 582.13, 874.44 and 365.86

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Solution

The fourth proportional to 582.13, 874.44 and 365.86 is: 549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 874.44 = 365.86 : x
  2. Step 2: Convert to fraction form
    582.13/874.44 = 365.86/x
  3. Step 3: Cross multiply
    582.13x = 874.44 × 365.86
  4. Step 4: Simplify right side
    582.13x = 319,916.42
  5. Step 5: Solve for x
    x = 319,916.42/582.13
  6. Step 6: Final answer
    x = 549.57

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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.