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Finding the Fourth Proportional to 501.74, 751.17 and 417.68

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Solution

The fourth proportional to 501.74, 751.17 and 417.68 is: 625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 751.17 = 417.68 : x
  2. Step 2: Convert to fraction form
    501.74/751.17 = 417.68/x
  3. Step 3: Cross multiply
    501.74x = 751.17 × 417.68
  4. Step 4: Simplify right side
    501.74x = 313,744.93
  5. Step 5: Solve for x
    x = 313,744.93/501.74
  6. Step 6: Final answer
    x = 625.32

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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.