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Finding the Fourth Proportional to 403.94, 557.25 and 264.00

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Solution

The fourth proportional to 403.94, 557.25 and 264.00 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.94 : 557.25 = 264.00 : x
  2. Step 2: Convert to fraction form
    403.94/557.25 = 264.00/x
  3. Step 3: Cross multiply
    403.94x = 557.25 × 264.00
  4. Step 4: Simplify right side
    403.94x = 147,115.10
  5. Step 5: Solve for x
    x = 147,115.10/403.94
  6. Step 6: Final answer
    x = 364.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.