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Finding the Fourth Proportional to 589.79, 813.65 and 415.24

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Solution

The fourth proportional to 589.79, 813.65 and 415.24 is: 572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.79 : 813.65 = 415.24 : x
  2. Step 2: Convert to fraction form
    589.79/813.65 = 415.24/x
  3. Step 3: Cross multiply
    589.79x = 813.65 × 415.24
  4. Step 4: Simplify right side
    589.79x = 337,855.92
  5. Step 5: Solve for x
    x = 337,855.92/589.79
  6. Step 6: Final answer
    x = 572.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.