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Finding the Fourth Proportional to 403.65, 557.35 and 310.25

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Solution

The fourth proportional to 403.65, 557.35 and 310.25 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 557.35 = 310.25 : x
  2. Step 2: Convert to fraction form
    403.65/557.35 = 310.25/x
  3. Step 3: Cross multiply
    403.65x = 557.35 × 310.25
  4. Step 4: Simplify right side
    403.65x = 172,917.84
  5. Step 5: Solve for x
    x = 172,917.84/403.65
  6. Step 6: Final answer
    x = 428.39

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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.