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Finding the Fourth Proportional to 419.07, 628.45 and 175.47

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Solution

The fourth proportional to 419.07, 628.45 and 175.47 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 628.45 = 175.47 : x
  2. Step 2: Convert to fraction form
    419.07/628.45 = 175.47/x
  3. Step 3: Cross multiply
    419.07x = 628.45 × 175.47
  4. Step 4: Simplify right side
    419.07x = 110,274.12
  5. Step 5: Solve for x
    x = 110,274.12/419.07
  6. Step 6: Final answer
    x = 263.14

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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.