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Finding the Fourth Proportional to 599.01, 902.81 and 565.52

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Solution

The fourth proportional to 599.01, 902.81 and 565.52 is: 852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.01 : 902.81 = 565.52 : x
  2. Step 2: Convert to fraction form
    599.01/902.81 = 565.52/x
  3. Step 3: Cross multiply
    599.01x = 902.81 × 565.52
  4. Step 4: Simplify right side
    599.01x = 510,557.11
  5. Step 5: Solve for x
    x = 510,557.11/599.01
  6. Step 6: Final answer
    x = 852.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.