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Finding the Fourth Proportional to 933.12, 1,398.72 and 420.48

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Solution

The fourth proportional to 933.12, 1,398.72 and 420.48 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,398.72 = 420.48 : x
  2. Step 2: Convert to fraction form
    933.12/1,398.72 = 420.48/x
  3. Step 3: Cross multiply
    933.12x = 1,398.72 × 420.48
  4. Step 4: Simplify right side
    933.12x = 588,133.79
  5. Step 5: Solve for x
    x = 588,133.79/933.12
  6. Step 6: Final answer
    x = 630.29

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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.