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Finding the Fourth Proportional to 572.95, 859.40 and 399.12

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Solution

The fourth proportional to 572.95, 859.40 and 399.12 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.95 : 859.40 = 399.12 : x
  2. Step 2: Convert to fraction form
    572.95/859.40 = 399.12/x
  3. Step 3: Cross multiply
    572.95x = 859.40 × 399.12
  4. Step 4: Simplify right side
    572.95x = 343,003.73
  5. Step 5: Solve for x
    x = 343,003.73/572.95
  6. Step 6: Final answer
    x = 598.66

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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.