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Finding the Fourth Proportional to 582.72, 874.08 and 376.78

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Solution

The fourth proportional to 582.72, 874.08 and 376.78 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 874.08 = 376.78 : x
  2. Step 2: Convert to fraction form
    582.72/874.08 = 376.78/x
  3. Step 3: Cross multiply
    582.72x = 874.08 × 376.78
  4. Step 4: Simplify right side
    582.72x = 329,335.86
  5. Step 5: Solve for x
    x = 329,335.86/582.72
  6. Step 6: Final answer
    x = 565.17

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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.