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Finding the Fourth Proportional to 419.07, 628.66 and 202.50

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Solution

The fourth proportional to 419.07, 628.66 and 202.50 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 628.66 = 202.50 : x
  2. Step 2: Convert to fraction form
    419.07/628.66 = 202.50/x
  3. Step 3: Cross multiply
    419.07x = 628.66 × 202.50
  4. Step 4: Simplify right side
    419.07x = 127,303.90
  5. Step 5: Solve for x
    x = 127,303.90/419.07
  6. Step 6: Final answer
    x = 303.77

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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.