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Finding the Fourth Proportional to 582.54, 874.20 and 461.58

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Solution

The fourth proportional to 582.54, 874.20 and 461.58 is: 692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 874.20 = 461.58 : x
  2. Step 2: Convert to fraction form
    582.54/874.20 = 461.58/x
  3. Step 3: Cross multiply
    582.54x = 874.20 × 461.58
  4. Step 4: Simplify right side
    582.54x = 403,513.24
  5. Step 5: Solve for x
    x = 403,513.24/582.54
  6. Step 6: Final answer
    x = 692.68

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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.