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Finding the Fourth Proportional to 600.42, 900.54 and 230.16

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Solution

The fourth proportional to 600.42, 900.54 and 230.16 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 900.54 = 230.16 : x
  2. Step 2: Convert to fraction form
    600.42/900.54 = 230.16/x
  3. Step 3: Cross multiply
    600.42x = 900.54 × 230.16
  4. Step 4: Simplify right side
    600.42x = 207,268.29
  5. Step 5: Solve for x
    x = 207,268.29/600.42
  6. Step 6: Final answer
    x = 345.21

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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.