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Finding the Fourth Proportional to 933.12, 1,399.84 and 385.00

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Solution

The fourth proportional to 933.12, 1,399.84 and 385.00 is: 577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.12 : 1,399.84 = 385.00 : x
  2. Step 2: Convert to fraction form
    933.12/1,399.84 = 385.00/x
  3. Step 3: Cross multiply
    933.12x = 1,399.84 × 385.00
  4. Step 4: Simplify right side
    933.12x = 538,931.40
  5. Step 5: Solve for x
    x = 538,931.40/933.12
  6. Step 6: Final answer
    x = 577.56

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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.