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Finding the Fourth Proportional to 589.89, 813.82 and 380.05

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Solution

The fourth proportional to 589.89, 813.82 and 380.05 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 813.82 = 380.05 : x
  2. Step 2: Convert to fraction form
    589.89/813.82 = 380.05/x
  3. Step 3: Cross multiply
    589.89x = 813.82 × 380.05
  4. Step 4: Simplify right side
    589.89x = 309,294.26
  5. Step 5: Solve for x
    x = 309,294.26/589.89
  6. Step 6: Final answer
    x = 524.32

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1.5x scale

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.