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Finding the Fourth Proportional to 582.78, 873.61 and 409.84

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Solution

The fourth proportional to 582.78, 873.61 and 409.84 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 873.61 = 409.84 : x
  2. Step 2: Convert to fraction form
    582.78/873.61 = 409.84/x
  3. Step 3: Cross multiply
    582.78x = 873.61 × 409.84
  4. Step 4: Simplify right side
    582.78x = 358,038.27
  5. Step 5: Solve for x
    x = 358,038.27/582.78
  6. Step 6: Final answer
    x = 614.37

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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.