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Finding the Fourth Proportional to 582.29, 874.80 and 409.38

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Solution

The fourth proportional to 582.29, 874.80 and 409.38 is: 615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 874.80 = 409.38 : x
  2. Step 2: Convert to fraction form
    582.29/874.80 = 409.38/x
  3. Step 3: Cross multiply
    582.29x = 874.80 × 409.38
  4. Step 4: Simplify right side
    582.29x = 358,124.80
  5. Step 5: Solve for x
    x = 358,124.80/582.29
  6. Step 6: Final answer
    x = 615.03

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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.