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Finding the Fourth Proportional to 582.48, 874.02 and 365.94

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Solution

The fourth proportional to 582.48, 874.02 and 365.94 is: 549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 874.02 = 365.94 : x
  2. Step 2: Convert to fraction form
    582.48/874.02 = 365.94/x
  3. Step 3: Cross multiply
    582.48x = 874.02 × 365.94
  4. Step 4: Simplify right side
    582.48x = 319,838.88
  5. Step 5: Solve for x
    x = 319,838.88/582.48
  6. Step 6: Final answer
    x = 549.10

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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.