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Finding the Fourth Proportional to 582.84, 874.71 and 578.28

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Solution

The fourth proportional to 582.84, 874.71 and 578.28 is: 867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 874.71 = 578.28 : x
  2. Step 2: Convert to fraction form
    582.84/874.71 = 578.28/x
  3. Step 3: Cross multiply
    582.84x = 874.71 × 578.28
  4. Step 4: Simplify right side
    582.84x = 505,827.30
  5. Step 5: Solve for x
    x = 505,827.30/582.84
  6. Step 6: Final answer
    x = 867.87

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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.